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Math Help - Taylor series technique

  1. #1
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    Taylor series technique

    Hi everyone,
    Is there a certain technique or a program for converting Taylor expansion to summation notation form and vice versa. Example: 1 + x + (5/4)x^2 + (7/4)x^3 +...+O(x^4). I am looking for general approach for rewriting expansions like this in sigma notation.
    Thank you in advance.
    Last edited by vola; January 16th 2013 at 01:56 PM.
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  2. #2
    Junior Member Barioth's Avatar
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    Re: Taylor series technique

    I believe what you,re looking for is a way to find the (n) term of the taylor serie so you can always write it as

    \sum f^{(n)}(x_0)*\frac{(x-x_0)^n}{n!}

    if so, I dont know any program or formula to find the (n) derivate... it's usualy a good cup of coffe and some time (well atleast for me)!
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  3. #3
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    Re: Taylor series technique

    thanks Barioth, it sounds about right
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