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Binomial expansion

  • Thread starter denian
  • Start date
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.
 

Hurkyl

Staff Emeritus
Science Advisor
Gold Member
14,845
17
My calculator agrees.

It's just a taylor series...
 

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