# Numerical Analysis Problem Question

• September 13th 2010, 09:20 AM
Mahonroy
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!
• September 13th 2010, 01:55 PM
CaptainBlack
Quote:

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:

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

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

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

CB
• September 13th 2010, 04:04 PM
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?
• September 13th 2010, 07:24 PM
CaptainBlack
Quote:

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