Hello,

I am trying to solve the following problem:

"Find the term independent of x in ."

I think this formula applies, but I am not sure where to begin: .

Can anyone help with this question?

Printable View

- Jan 16th 2013, 08:35 PMianmProblem With Binomial Coefficients
Hello,

I am trying to solve the following problem:

"Find the term independent of x in ."

I think this formula applies, but I am not sure where to begin: .

Can anyone help with this question? - Jan 16th 2013, 09:02 PMMarkFLRe: Problem With Binomial Coefficients
Do you mean:

? - Jan 16th 2013, 09:20 PMianmRe: Problem With Binomial Coefficients
- Jan 16th 2013, 09:33 PMMarkFLRe: Problem With Binomial Coefficients
Okay, the binomial theorem tells us the general term in this expansion will be:

Now, in order for this term to be independent of*x*, to what must the exponent on*x*be equal? - Jan 16th 2013, 09:40 PMianmRe: Problem With Binomial Coefficients
- Jan 16th 2013, 09:44 PMMarkFLRe: Problem With Binomial Coefficients
Yes, correct on both counts! :D

So, what would the value of that term be? - Jan 16th 2013, 09:46 PMianmRe: Problem With Binomial Coefficients
- Jan 16th 2013, 09:52 PMMarkFLRe: Problem With Binomial Coefficients
Yes, correct again! :D