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Math Help - Proving Maclaurin series function

  1. #1
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    Proving Maclaurin series function

    Show that the function defined by
    Proving Maclaurin series function-ex.png
    is not equal to its Maclaurin series.
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  2. #2
    Super Member Failure's Avatar
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    Quote Originally Posted by racewithferrari View Post
    Show that the function defined by
    Click image for larger version. 

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    is not equal to its Maclaurin series.
    You have to show that f^{(k)}(0)=0, for all k\in \mathbb{N}, so that the Maclaurin series is identical to 0, for all x\in\mathbb{R}, but f(x)\neq 0, for all x\in \mathbb{R}\backslash\{0\}.
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