Prove that for all positive integers n > 1,

My attempt:

Integrating both sides,

Substituting x = 0,

Substituting x = -1,

What am I doing wrong?

Printable View

- Aug 19th 2011, 11:59 AMalexmahoneBinomial coefficients
Prove that for all positive integers n > 1,

**My attempt:**

Integrating both sides,

Substituting x = 0,

Substituting x = -1,

What am I doing wrong? - Aug 19th 2011, 12:17 PMalexmahoneRe: Binomial coefficients
On second thoughts, I'm beginning to think that the book may be wrong and I may be right.

- Aug 19th 2011, 12:18 PMOpalgRe: Binomial coefficients
You are right and the question is wrong. You can check this by testing the formula with n=2. In that case, the sum becomes

That agrees with your answer (with n=2), but not with the given answer 0.

My guess is that the person who set this question forgot the constant when doing the integration. Congratulations to you for remembering that this is necessary. (Rock) - Aug 19th 2011, 12:34 PMalexmahoneRe: Binomial coefficients
- Aug 19th 2011, 12:40 PMchisigmaRe: Binomial coefficients