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Math Help - Series Converges

  1. #1
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    Series Converges

    f(x) = \sum_{n=0}^{\infty}(-1)<sup>n</sup>\frac{x<sup>2n</sup>}{(2n)!}

    Let f be defined by the series for all x where the series converges
    A. What is the domain
    B. Is f odd, even or neither
    C. Assuming that derivatives can be computed term by term show that f'' = f
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  2. #2
    Super Member girdav's Avatar
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    Re: Series Converges

    A. Use ratio test.
    B. What about the function x\mapsto x^{2n}?
    C. What have you done?
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  3. #3
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    Re: Series Converges

    You in Leache's class?

    hahah

    Anyway, for A domain should be infinity.
    I haven't found an answer for B (could be neither)
    and for C http://www.math.sunysb.edu/~disconzi...ging_index.pdf
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  4. #4
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    Re: Series Converges

    AHHH HAHA
    THANKS This problem is killing me....
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