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Math Help - Does this Converge ?

  1. #1
    Junior Member
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    Does this Converge ?

    i have the series:

    f(x) = x - \frac{x^3}{3} + \frac{x^5}{5} -\frac{x^7}{7} +\frac{x^9}{9} ...

    now i have to determine the general form:

    \sum \frac{x^{2n-x}}{2n-1} *(-1^{n+2}) from n= 1 to infinity

    by the test from Leibniz this should be divergent, since its not decreasing and the limit isnt zero right ?

    not sure, please help
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  2. #2
    MHF Contributor Calculus26's Avatar
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    See attachment-- the real question should be for what values of x does the series converge
    Attached Thumbnails Attached Thumbnails Does this Converge ?-series.jpg  
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