75 articles trouvés pour ce sujet.
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La limite de (x(n)) |
2002-10-01 |
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Une étudiante pose la question : 3) Soit L, le point ayant pour abscisse la limite de (x(n)) a) Exprimer la distance M(n)L en fonction de n b) Déterminer le plus petit entier naturel n(o) pour lequel la distance Mn(o)L est inférieur à 0,01 c) Justifier alors qu'à partir du rang n(o), tous les points M(n) sont situés dans le segment de centre L et de rayon 0,0 1 Claude Tardif lui répond. |
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The limit of (e^x-1)^(1/x) as x tends to 0 |
2018-02-27 |
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ARGHA pose la question : Find the limit of (e^x-1)^(1/x) as x tends to 0. Penny Nom lui répond. |
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A limit |
2017-05-14 |
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Soham pose la question : Find out the value of the following:
lim (x+x^2 +x^3 +.........x^n–n)/(x–1)
x→1 Penny Nom lui répond. |
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A tolerance limit is 0.5% |
2017-01-06 |
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Joe pose la question : Dear Sir/Madam,
How can I describe the following.
My volume tolerance limit is 0.5%,regardless of quantity.
Say , My total volume output is 344,714 Litres and benchmark volume is 348,194
Difference of 3480Litres, this would give me a percentage of 0.999.
Which is above my tolerance.
How can I explain this high tolerance limit even though volume difference is minimal.
Regards
Joe Penny Nom lui répond. |
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A limit of a rational function |
2016-01-16 |
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selvamani pose la question : F (x) = x^3+3x^2-9x-2 / x^3-x-6 and limit x tends to 2, f (x) exist then limit x tends to 2, f (x) is equal to ? How to answer this problem. Penny Nom lui répond. |
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A limit |
2015-03-13 |
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arthur pose la question : sin(x-1)/x^+x-2 Penny Nom lui répond. |
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A limit |
2015-02-19 |
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genc pose la question : Lim (27x^3-1) / (3x-1)
X-> 1/3 Harley Weston lui répond. |
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A limit with trig functions |
2014-02-22 |
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pearl pose la question : (what is the value of limit of x as it approaches 0 of sin8x divided by cos6x) Penny Nom lui répond. |
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Is a line lying in a plane an open or a closed region? |
2013-02-13 |
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pardeep pose la question : please help with this question on the open and closed intervals ::
Is a line lying in a plane an open or a closed region? my teacher says it is a closed region reasoning out that it contains all it boundary points. please help how is it so? Harley Weston lui répond. |
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1+2+4+8....= -1 |
2012-04-02 |
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Andy pose la question : In this minutephysics video, it's claimed that 1+2+4+8....= -1
Is this true, and if so, how?
< href="http://www.youtube.com/watch?v=kIq5CZlg8Rg">http://www.youtube.com/watch?v=kIq5CZlg8Rg Robert Dawson lui répond. |
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A limit |
2012-01-18 |
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Neil pose la question : The limit of [(1/x)^3 - 1/8]^1/3 all over (x - 1/2) as x approaches 1/2 to positive infinity. How to answer that? Harley Weston lui répond. |
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Limits and composition |
2011-12-30 |
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Rahul pose la question : I want to know about limit proofs of composite functions. Like limit of log of a function equals log of limit of the function Penny Nom lui répond. |
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The derivative of f(x) = (x+1)^1/2 |
2011-09-05 |
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Carla pose la question : Find the derivative using the limit process of
f(x) = (x+1)^1/2 Harley Weston lui répond. |
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limit as x approaches a of ((x^(1/2))-(a^(1/2)))/(x-a)? |
2010-09-29 |
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emily pose la question : limit as x approaches a of ((x^(1/2))-(a^(1/2)))/(x-a)? Penny Nom lui répond. |
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A limit |
2010-09-27 |
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norma pose la question : I have a problem like this one but I can get it right. please help me to answer
find the constant a such that the function is continuous on the entire line.
g(x)= {x^2 - a^2 / x-a if x is not = a
{6 if x = a Penny Nom lui répond. |
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Limits |
2010-09-20 |
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rodrigo pose la question : what's the limit of x+1/x-1, when x tends to 1? Janice Cotcher lui répond. |
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Using the limit definition |
2010-06-06 |
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Meagan pose la question : Using the limit definition find the derivative of 3/(2x^2) Harley Weston lui répond. |
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The derivative using limits |
2009-04-21 |
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Kirstin pose la question : I am trying to take the limit of f(x) = [f(x+h)-f(x)] / h
If you try taking the limit by substituting the limiting value h=0, you get 0/0,
which of course is not the right answer. You rewrite f(x+h)-f(x) so it has a factor
of h in it, which you cancel with the h in the denominator before you substitute h=0.
But I am not sure how to do this. Thanks. Robert Dawson lui répond. |
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Infinite sets and infinite limits |
2009-03-06 |
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Justin pose la question : Hello, I know I have asked a similar question before but I was just wondering if set theory applies to the lim x->0, y=1/x=infinity and if so, what type of infinity would it be? Thanks a lot for your help with this question!
Regards,
Justin Robert Dawson and Harley Weston lui répond. |
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A trig limit |
2009-02-05 |
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Samantha pose la question : lim x-> 0 ( ( r*cos(wt +h) + r*cos(wt) )/ h )
Where r & w are constants. Harley Weston lui répond. |
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A trig limit |
2009-02-05 |
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Kathy pose la question : Hi! I was just wondering how to do this question:
lim 1-cos2x/xsinx as x approaches 0
Thanks,
Kathy Penny Nom lui répond. |
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limit sinx/x |
2009-01-30 |
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Jackie pose la question : how to evaluate limit sinx/x as x tends to zero if x is in degrees Stephen La Rocque and Harley Weston lui répond. |
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Limit of a Trig Function |
2008-12-06 |
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Berta pose la question : Evaluate limit xcsc2x/cos 5x as x goes to 0
ans is 2 but I get 1/2
x/sin2xcos5x = 2x/2sin2xcos5x= 1/2cos5x Penny Nom lui répond. |
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A trig limit |
2008-11-04 |
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Teri pose la question : Although I have this problem completely worked out in front of me I still cannot understand
how it was done. The problem is:
Find the limit.
lim x->0 sin2x/tan7x. Harley Weston lui répond. |
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Limit as it Approaches a Constant |
2008-09-16 |
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Brooks pose la question : what is the limit as x approaches 10 for f(x) = sqrt(x-1) = 3 pleeeeeaase help me out here Janice Cotcher lui répond. |
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Right Sided Limit of an Exponential Function |
2008-07-29 |
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joseph pose la question : I am trying to find the limit as X approaches 0 from the positive side of x to the sin of x
which look like this lim x^sinx
x->0+ Harley Weston lui répond. |
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Limit as it Approaches Infinity |
2008-07-29 |
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mary pose la question : i was trying to find the limit of this problem
the limit as x approches infinity of x minus cosx divided by x
lim x-cosx/x
x->oo Harley Weston lui répond. |
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limit x->0 (logx-log(x-1)) |
2008-05-22 |
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kritica pose la question : lt x->0 (logx-log(x-1)) Harley Weston lui répond. |
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lim as x approaches infinite of 5x + 2/x-1 |
2008-04-04 |
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Jordan pose la question : how to solve this.
lim as x approaches infinite of 5x + 2/x-1 Stephen La Rocque and Harley Weston lui répond. |
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The limit of (sin4x)/(tan9x) as x approaches zero |
2008-03-14 |
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stev pose la question : as x->0. How do you find the limit of f(x)=(sin4x)/(tan9X) Harley Weston lui répond. |
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lim sin 4x/sin 6x as x approaches zero |
2008-02-22 |
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josh pose la question : lim sin 4x/sin 6x
x approachs 0 Stephen La Rocque and Harley Weston lui répond. |
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lim sinx/(x +tanx) |
2007-12-16 |
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shimelis pose la question : i have problem how do you solve this equation
lim sinx/(x +tanx) Harley Weston lui répond. |
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ln(x)/x |
2007-12-07 |
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Nooruddin pose la question : How can I calculate the absolute minimum of (ln x)/x? Stephen La Rocque lui répond. |
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lim [x + squareroot(x^2 + 3)] as x->-inf |
2007-11-16 |
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David pose la question : Find the limit. (Hint: treat the expression as a fraction whose denominator is 1, and rationalize the numerator.)
lim [x + squareroot(x^2 + 3)] as x->-inf
i got to
lim -3/(x - squareroot(x^2 + 3)) as x->-inf
but i'm having trouble understanding why the answer is 0 plz explain thx Harley Weston lui répond. |
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A limit of the form 0 times infinity |
2007-11-13 |
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Russell pose la question : find the following limit
lim x((e^1/x) -1) as
x --> infinity Penny Nom lui répond. |
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lim x->1 (root x - x^2)/{1 - root x) |
2007-10-16 |
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Meghan pose la question : Hi! I have a question from my Calculus textbook that I've been picking at for a while and I'm stuck.
lim x->1 (root x - x^2)/{1 - root x). Stephen La Rocque and Penny Nom lui répond. |
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lim (1- 2 cosx) / (sin(x- pi/3)) |
2007-10-15 |
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hanan pose la question : lim (1- 2 cosx) / (sin(x- л/3)) Harley Weston lui répond. |
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A trig limit |
2007-10-12 |
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Amanda pose la question : What is the limit, as x tends to zero, of: (1-cos(4x))/(xsin(x))?
Thank you!
~Amanda Harley Weston lui répond. |
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The tangent to y = x^3 at x = 0 |
2007-09-04 |
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Amit pose la question : consider the equation = x^3. The equation of tangent to this curve (which is smmetrical in Ist and IVth quadrant) at (0,0) is y=0, which is x-axis.
but graphically one can visulize that x-axis intersects the curve, so how can it be the tangent to the curve. Please help. Harley Weston lui répond. |
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Another trig limit |
2007-07-16 |
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Richter pose la question : lim (π + x)/[cos(x/2)]
x-->-π Harley Weston lui répond. |
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A trig limit |
2007-07-16 |
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Richter pose la question : what is the value of lim [cos (π/x)]/(x-2) as x-->2? Harley Weston lui répond. |
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sin|x| and cos|x| |
2007-06-25 |
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Mac pose la question : Can anyone tell me whether sin|x| and cos|x| is differentiable at x=0 ?
As far as i know, cos(x) and sin(x) is differentiable at all x. Penny Nom and Stephen La Rocque lui répond. |
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Limits as x approaches a constant |
2007-06-25 |
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Mac pose la question : can you please tell me what is the reason they say "denominator is a negative quantity"
in the solution 11 and "denominator is a positive quantity" solution 10 ??
If i guess correctly, for solution 10, its because of x^2 in the denominator. Penny Nom lui répond. |
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The limit of a rational function |
2007-05-28 |
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Imad pose la question : 3 _______ 3 _______
lim \/ 1 + x - \/ 1 - x
x->0 ---- ----------------------------
x Penny Nom lui répond. |
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Find the sample size needed |
2007-05-13 |
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Mini pose la question : Find the sample size needed to be 98% confident thata marketing survey on the proportion of shoppers who use the internet for holiday shopping is accurate within a margin of error of 0.02. Assume that the conditions for a binomial distribution are met, and that a current estimate for a sample proportion does not exist. Penny Nom lui répond. |
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What is the limit of 3.x^(3/x) as x approaches +infinity? |
2007-04-11 |
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Teodora pose la question : What is the limit of 3.x^3/x as x approaches +infinity ? Haley Ess lui répond. |
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A trig limit |
2007-03-11 |
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Lo pose la question : tan(2*x)/sin(3*x) Penny Nom lui répond. |
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A limit |
2007-02-21 |
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Amanda pose la question : I have tried to work out this problem by using the properties of limits and the conjugate rule to simplify but I am not real sure how to approach the problem or what they are asking for any help would be greatly appreciated. Amanda Penny Nom lui répond. |
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lim x-->infinity cos x |
2006-12-07 |
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Katie pose la question : I was wondering if it was possible to find: lim x-->infinity cos x Stephen La Rocque lui répond. |
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A limit involving trigonometry |
2006-05-02 |
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Allie pose la question : My question is how do you solve.
lim as t goes to 0 [sin squared *3t] / t squared? Penny Nom lui répond. |
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1/infinity and 1/0 |
2006-03-04 |
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Evan pose la question : I was thinking the other day when i was in math class that when you divide 1 by say n you'll get 1/n. As the value of n increases the smaller the number you get. So if you divide 1/infinity would that equal zero? And if that is true then would 1/0=infinity be true also? Penny Nom lui répond. |
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(x/1+x)^x |
2005-10-23 |
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A student pose la question : LIMIT x-.->0 (x/1+x)x how to solve it. Penny Nom lui répond. |
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The value of n*tan*(180/n) tends to pi |
2005-07-11 |
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Daniel pose la question : I am 14 and i have been given a piece of maths coursework whereby a farmer has to fence off a piece of land as large as possible using 1000m of fence. I already know that the formula for working out the area of any shape of a 1000m perimeter = 5002/ n*tan*(180/n), however, after some research I have found out that as the number of sides (n), tends to infinity, the n*tan*(180/n) tends to pi. Why is this? Penny Nom lui répond. |
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The limit as x approaches 3 of (sqrt(x+1)-2)/(x-3) |
2005-04-14 |
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Abraham pose la question : What is the limit as x approaches 3 of
(sqrt(x+1)-2)/(x-3) Penny lui répond. |
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Limits and composite functions |
2004-08-07 |
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Sue pose la question : I have two questions, one about a limit and the other about a composite function. If you could help me, I'd really appreciate it.
1. Find the limit:
lim[x->0] (x*csc(x))
I converted csc(x) to cos(x)/sin(x), but I didn't know what to do after that.
2. f(g(x)) = ln(x^2 + 4), f(x) = ln(x^2) and g(x) > 0 for all real x, find g(x):
I'm having trouble with this one because x^2 + 4 isn't a perfect square.
--Sue Penny Nom lui répond. |
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When is the limit of f(x) undefined? |
2004-08-03 |
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Nicolasa pose la question : When is the limit of f(x) undefined? Penny Nom lui répond. |
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A sequence that converges to e |
2003-03-16 |
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Dane pose la question : Something I noticed fooling around with a calculator about 30 years ago. Considering e = 2.718281828459045.... Using Window's Calculator you will find 1.111 = 2.8531167... 1.01101 = 2.731861... 1.0011001 = 2.71964085... 1.000110001 = 2.71841774... 1.00001100001 = 2.7182954... 1.00000110000011 = 2.178231875... 1.000000110000001 = 2.178219643... There apears to be a pattern. My conjecture is: 1.'infinite number of zeros'11'infinite number of zeros'1 = e. Penny Nom lui répond. |
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Harmonic numbers |
2003-03-12 |
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Becky pose la question : What can you tell me about the limit of harmonic numbers as it reaches infinity? Penny Nom lui répond. |
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A limit |
2002-09-03 |
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Circe pose la question :
Lim 3x 3+ax+a+3 /(x 2+x-2), X->-2 Penny Nom lui répond. |
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Asymptotes |
2001-11-09 |
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Frank pose la question :
given the function: f(x) = (x2) / (x-1) the correct answer to the limit of f(x) as x approaches infinity is: y = x+1 all math references point to this answer and the method they all use is long division of x-1 into x2 however if one were to multiply both the numerator and denominator by 1/x and then take the limit, one gets: y=x how can the descrepency between the two answers be explained? Chris Fisher and Penny Nom lui répond. |
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A limit using l'hopital's rule |
2000-12-13 |
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Wassim pose la question : I need to know how to solve the: limits of (x ( to the power lamda) -1 )/LAMDA when lamda tends to zero ( the answer is that the functional form is ln x) and I still don't know how using hopital rule leads to this answer. Harley Weston lui répond. |
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L'Hospital's Rule |
2000-07-19 |
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Dan Krymkowski pose la question : The limit of the following as x goes to infinity is 2*y. Y is a constant. lim 2*x*log(x/(x-y)) = 2*y Harley Weston lui répond. |
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Central Limit Theorem and Law of Large Numbers |
2000-06-26 |
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Jonathan Yam pose la question : The Central limit Theorem states that when sample size tends to infinity, the sample mean will be normally distributed. The Law of Large Number states that when sample size tends to infinity, the sample mean equals to population mean. Is the two statements contradictory? Paul Betts and Harley Weston lui répond. |
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The limit of f(x)/x |
2000-01-22 |
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Laurent Jullien pose la question : I would appreciate help to prove that a twice continuously differentiable convex function from R+ to R has the property that f(x)/x has a limit when x tends to infinity. Claude Tardif lui répond. |
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l'Hospital's Rule |
1999-10-18 |
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Yannick Gigandet pose la question : How can I solve these two limits : - lim when n approches 1 of n[a1/n -1]
- lim when x approches 0 of (eax - ebx) / x
Thanks for the answer! Harley Weston lui répond. |
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A trig limit |
1999-10-06 |
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Yannick Gigandet pose la question : What is the limit, as x approaches pi/3, of (1-2cosx) / sin(x-(pi/3)) ? Penny Nom lui répond. |
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Two limits |
1999-10-02 |
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Jennifer pose la question : How do I find lim (1-cosx)/(x^2) as x-> 0 and lim (tan3x)/x as x->0 Harley Weston lui répond. |
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A trig limit |
1998-11-14 |
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Amy Atwell pose la question : what is the limit of of tanx / x + sin x as x approaches 0 Harley Weston lui répond. |
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A trig limit |
1998-05-28 |
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Ann pose la question : This problem is a calculus 1 limit problem-high school level. I'm teaching myself calc over the summer and I'm already stumped. find the limit lim sec^(2)[(sqrt2)(p)]-1 p-->0 --------------------- 1-sec^(2)[(sqrt3)(p)] I'm Ann. Harley Weston lui répond. |
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Limited area and unlimited perimeter. |
1997-11-28 |
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Rosa pose la question : There is a figure, it has unlimited perimeter but has limited area , what is the figure and how to draw it ? Thank you very much! Harley Weston lui répond. |
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A Trigonometric Limit |
1997-09-18 |
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Brian Ray pose la question : What is the limit, as x approaches 0, or tan^23x/x^2? (read, tan squared 3x over...)? Harley Weston lui répond. |
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A Limit Problem |
1997-09-16 |
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Robert Reny pose la question : what is the limit, as x approaches 0, of 3x/2x-[x]? [] means absolute value. Harley Weston lui répond. |
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A Monte Carlo Procedure |
1997-04-23 |
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Donna Hall pose la question : A irregularly shaped object of unknown area A is located in the unit square 0<=x<=1. Consider a random point uniformly distributed over the square. Let X = 1 if the point lies inside the object and X = 0 otherwise. Show that E(X) = A. How could A be estimated from a sequence of n independent points uniformly distributed over the square? How would you use the central limit theorem to gauge the probable size of the error of the estimate. Harley Weston lui répond. |
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The Central Limit Theorem |
1997-04-21 |
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Donna Hall pose la question : A skeptic gives the following argument to show that there must be a flaw in the central limit theorem: We know that the sum of independent Poisson random variables follows a Poisson distribution with aparameter that is the sum of the parameters of the summands. In particular, if n independentPoisson random variables, each with parameter 1/n, are summed, the sum has a Poisson distributionwith parameter 1. The central limit theoren says the sum tends to a normal distribution, butPoisson distribution with parameter 1 is not normal. What do you think of this argument? Neal Madras lui répond. |
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The normal distribution. |
1997-03-21 |
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Donna D.Hall pose la question : I am looking for a proof for the normal distribution. I suppose "proof" was not a good choice of words. What I am looking for is a way to "derive" the normal distribution in simple terms so that the most average teenager can see the logic. Can you help me? Harley Weston lui répond. |
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