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Math Help - Taylor Series Problem

  1. #1
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    Taylor Series Problem

    Question:


    http://i.imgur.com/GsjeL.png



    Here is my attempt so far:


    http://i.imgur.com/AyOCm.png



    Note: I've used m where the question has used j.


    My attempt is based off some bad notes I took in class so the way I am trying to solve the problem may not be the best. I'm struggling to work out how to continue from the part where I've left a question mark, and I'm not even sure if the Taylor expansion is correct.


    Could anybody offer some thoughts as to what to do?
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  2. #2
    Senior Member vincisonfire's Avatar
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    Re: Taylor Series Problem

    I think your Taylor expansion should look like f(x_0+\Delta x) = f(x_0) + f'(x_0)\Delta x + ...
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