Binomial expansion

  • Thread starter denian
  • Start date
  • #1
160
0
try this out..

expand ( 1 + x/2 - x to the power of 2 ) to the power of n in ascending powers of x until and including the term in x to the power of 3.


the answers given by the book is
1 + nx/2 + n(n-9)/8 x to the power of 2 + n(n-1)(n-26)/48 x to the power of 3 + ...


i just want to know whether the answer is correct or not.
if possible, please show me the working. tq.
 

Answers and Replies

  • #2
Hurkyl
Staff Emeritus
Science Advisor
Gold Member
14,916
19
My calculator agrees.

It's just a taylor series...
 

Related Threads on Binomial expansion

  • Last Post
Replies
10
Views
3K
  • Last Post
Replies
1
Views
3K
Replies
2
Views
6K
Replies
1
Views
1K
Replies
2
Views
2K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
4
Views
4K
  • Last Post
Replies
9
Views
2K
  • Last Post
Replies
4
Views
2K
Top