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Math Help - Numerical Analysis Problem Question

  1. #1
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    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!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Mahonroy View Post
    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
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  3. #3
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    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?
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by Mahonroy View Post
    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
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