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Quandaries & Queries
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 Topic: l'hospital
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 A limit of the form 0 times infinity 2007-11-13 From Russell:find the following limit lim x((e^1/x) -1) as x --> infinityAnswered by Penny Nom. l'Hospital's rule 2007-10-28 From SWAPNA:Evaluate the following limit using L'Hospitals Rule lim (sin x/x) ^ 1/(x^2) x-->0Answered by Harley Weston. (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. L'hopital's rule 2005-05-15 From Abraham:Find the limit of [(1/(x+4))-(1/4)]/x as x approaches zero. How do you use l"hopital's rule to find this limit. I know how to do it with multiplying everything by 4(x+4), and getting the answer, -1/16.But how do you apply derivatives with l'hopitals rule to this type of problem?Answered by Penny. L'Hopital's Rule 2001-11-25 From Mike:I'm a high school senior. I'm in ap calculus and was wondering if you know the proof of L'Hopital's Rule? Our teacher said he has never been able to find it in a math book and was unable to derive it himself.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.

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