







A limit of the form 0 times infinity 
20071113 

From Russell: find the following limit
lim x((e^1/x) 1) as
x > infinity Answered by Penny Nom. 





l'Hospital's rule 
20071028 

From SWAPNA: Evaluate the following limit using L'Hospitals Rule
lim (sin x/x) ^ 1/(x^2)
x>0 Answered by Harley Weston. 





(x/1+x)^x 
20051023 

From A student: LIMIT x.>0 (x/1+x)^{x} how to solve it. Answered by Penny Nom. 





L'hopital's rule 
20050515 

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 
20011125 

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 
19991018 

From Yannick Gigandet: How can I solve these two limits :  lim when n approches 1 of n[a^{1/n} 1]
 lim when x approches 0 of (e^{ax}  e^{bx}) / x
Thanks for the answer! Answered by Harley Weston. 

