Taylor Expansion

  • Thread starter phalanx123
  • Start date
  • #1
30
0
Hi I wonder if there is a simpler way to obtain the first three non-zero terms of Taylor Expansion for the function [tex]\frac{Ln(1+x)}{1-x}[/tex] about x=0?

I differentiated it directly, but it was such a nightmare to do:mad: . So I am wondering if there is a simpler way to do it?
 

Answers and Replies

  • #2
Galileo
Science Advisor
Homework Helper
1,989
6
You can take the Taylor expansions of 1/(1-x) and ln(1+x) and multiply those. Gather coefficients etc.
 
  • #3
Hurkyl
Staff Emeritus
Science Advisor
Gold Member
14,916
19
Or, you could compute the Taylor series for Ln(1+x), and then divide by 1-x.
 

Related Threads on Taylor Expansion

  • Last Post
Replies
6
Views
928
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
8
Views
2K
  • Last Post
Replies
7
Views
36K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
2
Views
581
Replies
2
Views
1K
  • Last Post
Replies
1
Views
2K
Replies
2
Views
6K
Replies
1
Views
2K
Top