On-line Math 21

On-line Math 21

4.4  l'Hôpital's Rule

Example 2

lim
x® ¥ 
 x3
ex

Solution



lim
x® ¥ 
 x3
ex
=

lim
x® ¥ 
 3x2
ex
=

lim
x® ¥ 
 6x
ex
=

lim
x® ¥ 
 6
ex
 ,
applying l'Hôpital's rule to get each succeeding line.

Copyright (c) 2000 by David L. Johnson.

File translated from TEX by TTH, version 2.61.
On 17 Dec 2000, 23:45.