L'hopitals rule and series

  • Thread starter cue928
  • Start date
  • #1
130
0
Lim as n-> inf: 5^x/x
So I used l'hopital's rule and came up with (5^x)(ln(5))
As n becomes progressively larger, it is continually multiplied by ln(5) but the overall number still goes to infinity. Is that correct logic?
 

Answers and Replies

  • #2
SammyS
Staff Emeritus
Science Advisor
Homework Helper
Gold Member
11,394
1,045
There is no 'n' in your expression.
 
  • #3
130
0
Sorry, replace the x's with n's. Skipped a step in my haste to type.
 
  • #4
9
0
After you apply L Hospital for the first time u get 5^nln(5)/1 now write that expression as ln5/5^-n....this is a form of k/0 where k is a constant...this form will tend to infinity if k is positive else minus infinity
 

Related Threads on L'hopitals rule and series

  • Last Post
Replies
5
Views
3K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
12
Views
2K
  • Last Post
Replies
11
Views
10K
  • Last Post
Replies
5
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
3
Views
4K
Replies
5
Views
3K
  • Last Post
Replies
3
Views
1K
Replies
2
Views
6K
Top