Prove that for all positive integers n > 1,

My attempt:

Integrating both sides,

Substituting x = 0,

Substituting x = -1,

What am I doing wrong?

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- August 19th 2011, 12:59 PMalexmahoneBinomial 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? - August 19th 2011, 01:17 PMalexmahoneRe: Binomial coefficients
On second thoughts, I'm beginning to think that the book may be wrong and I may be right.

- August 19th 2011, 01:18 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) - August 19th 2011, 01:34 PMalexmahoneRe: Binomial coefficients
- August 19th 2011, 01:40 PMchisigmaRe: Binomial coefficients