# Thread: Numerical Analysis Problem Question

1. ## Numerical Analysis Problem Question

Hello, I'm working on problems and came across this one that I am not sure what to do with it. Can anyone help me/give me some advice on it please? Thanks for your time!

2. Originally Posted by Mahonroy
Hello, I'm working on problems and came across this one that I am not sure what to do with it. Can anyone help me/give me some advice on it please? Thanks for your time!
You need to find:

$\displaystyle \dfrac{d^k}{dx^k}(1+x)^n=n(n-1)..(n-(k-1))(1+x)^{n-k}$

Note this is zero if $\displaystyle$$n$ is an integer and when $\displaystyle k>n$

Now you can apply the definition of the MacLaurin series for this function

CB

3. I'm still not really following to well. How do I arrive at the sumation portion? Or what does it specifically mean to derive this?

4. Originally Posted by Mahonroy
I'm still not really following to well. How do I arrive at the sumation portion? Or what does it specifically mean to derive this?
Look up the definition of MacLaurin series, here is a link to the >>MathWorld page<<

CB