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    Real Analysis : Power Series - Expansion and Interval of Convergence

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    Let ...

    a) Show that f can be represented by a power series. What is its interval of convergence?

    b) Calculate the power series expansion for the function F(x) = ...

    Please see attached for equations.

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    (a) Since ,which is a power series, then
    if , therefore
    f(x)= , since if x=0, f(0)=1, and if , f(x) ...

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    Power Series are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who posted the question.