Topic: limits list of topics
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28 items are filed under this topic.

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	A limit		2015-03-13
		From arthur: sin(x-1)/x^+x-2 Answered by Penny Nom.
	A limit		2015-02-19
		From genc: Lim (27x^3-1) / (3x-1) X-> 1/3 Answered by Harley Weston.
	1+2+4+8....= -1		2012-04-02
		From Andy: 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 Answered by Robert Dawson.
	Limits and composition		2011-12-30
		From Rahul: I want to know about limit proofs of composite functions. Like limit of log of a function equals log of limit of the function Answered by Penny Nom.
	The derivative using limits		2009-04-21
		From Kirstin: 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. Answered by Robert Dawson.
	Infinite sets and infinite limits		2009-03-06
		From Justin: 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 Answered by Robert Dawson and Harley Weston.
	A trig limit		2009-02-05
		From Samantha: lim x-> 0 ( ( r*cos(wt +h) + r*cos(wt) )/ h ) Where r & w are constants. Answered by Harley Weston.
	A trig limit		2009-02-05
		From Kathy: Hi! I was just wondering how to do this question: lim 1-cos2x/xsinx as x approaches 0 Thanks, Kathy Answered by Penny Nom.
	A trig limit		2008-11-04
		From Teri: 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. Answered by Harley Weston.
	A trig limit		2007-10-12
		From Amanda: What is the limit, as x tends to zero, of: (1-cos(4x))/(xsin(x))? Thank you! ~Amanda Answered by Harley Weston.
	The tangent to y = x^3 at x = 0		2007-09-04
		From Amit: 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. Answered by Harley Weston.
	Limits as x approaches a constant		2007-06-25
		From Mac: 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. Answered by Penny Nom.
	Find the sample size needed		2007-05-13
		From Mini: 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. Answered by Penny Nom.
	A trig limit		2007-03-11
		From Lo: tan(2*x)/sin(3*x) Answered by Penny Nom.
	A limit involving trigonometry		2006-05-02
		From Allie: My question is how do you solve. lim as t goes to 0 [sin squared *3t] / t squared? Answered by Penny Nom.
	1/infinity and 1/0		2006-03-04
		From Evan: 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? Answered by Penny Nom.
	(x/1+x)^x		2005-10-23
		From A student: LIMIT x-.->0 (x/1+x)x how to solve it. Answered by Penny Nom.
	The value of n*tan*(180/n) tends to pi		2005-07-11
		From Daniel: 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? Answered by Penny Nom.
	The limit as x approaches 3 of (sqrt(x+1)-2)/(x-3)		2005-04-14
		From Abraham: What is the limit as x approaches 3 of (sqrt(x+1)-2)/(x-3) Answered by Penny.
	Limits and composite functions		2004-08-07
		From Sue: 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 Answered by Penny Nom.
	When is the limit of f(x) undefined?		2004-08-03
		From Nicolasa: When is the limit of f(x) undefined? Answered by Penny Nom.
	Harmonic numbers		2003-03-12
		From Becky: What can you tell me about the limit of harmonic numbers as it reaches infinity? Answered by Penny Nom.
	Asymptotes		2001-11-09
		From Frank: 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? Answered by Chris Fisher and Penny Nom.
	L'Hospital's Rule		2000-07-19
		From Dan Krymkowski: 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 Answered by Harley Weston.
	The limit of f(x)/x		2000-01-22
		From Laurent Jullien: 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. Answered by Claude Tardif.
	l'Hospital's Rule		1999-10-18
		From Yannick Gigandet: 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! Answered by Harley Weston.
	Two limits		1999-10-02
		From Jennifer: How do I find lim (1-cosx)/(x^2) as x-> 0 and lim (tan3x)/x as x->0 Answered by Harley Weston.
	A trig limit		1998-11-14
		From Amy Atwell: what is the limit of of tanx / x + sin x as x approaches 0 Answered by Harley Weston.

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