Posted by lola on Wednesday, February 1, 2012 at 11:45am.
Use L’Hopital’s rule to find the limit of this sequence
(n^100)/(e^n)
...If you do L'Hop. Rule it would take forever, right? You would always get an (e^n) at the bottom and will have to use the L'Hop. rule 100 times to find the limit...100*n^99, 9900n^98, and etc.
Is there a shortcut to find the limit?
Or, am I doing something way wrong?

calc  Reiny, Wednesday, February 1, 2012 at 12:06pm
You didn't say what the aprroach value is for n
is n> 0 ?
lim n^100/e^n)
= lim (100n^99)/(e^n)
= lim (9900n^98) / e^n
= ...
= lim (huge n^1)/e^n
= lim (more huge )/e^n
= lim (0/e^n)
= 0/1
= 0

calc  lola, Wednesday, February 1, 2012 at 12:29pm
what if n approaches infinity?
Answer This Question
Related Questions
 calc2  Use L’Hopital’s rule to find the limit of this sequence (n^100)/(e^n...
 calc  Use L’Hopital’s rule to find the limit of this sequence (n^100)/(e^n) ......
 limit calc question  2 questions!!! 1. Limit X approaching A (X^1/3a^1/3)/ xa...
 calculus, limits, l'hopital  Using l'hopital's rule, find the limit as x ...
 calculus, limits, l'hopital  Using l'hopital's rule, find the limit as x ...
 Calculus  How would I solve the limit for this sequence. [n^(2)]*[1cos(2.4/n...
 Calclulus  L'Hopital's Rule  Evaluate the limit as x > Infinity [5xsqrt(...
 Calculus  find the limit. use L'Hopital's Rule if necessary. lim (x^2+3x+2)/(x^...
 Calculus  Find the limit as x approaches infinity of (lnx)^(1/x). This unit is ...
 MoRe HeLp PlEaSe!! (calc)  Also can I get some help with this LONG, TIRESOME ...
More Related Questions