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Math Help - Radius of Convergence Proof

  1. #1
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    Radius of Convergence Proof

    I've uploaded the problem I'm having an issue with. The second line begins with F(x) in case that is too blurry. I have no idea where to begin, so if someone could just point me in the right direction, that would be much appreciated!
    Attached Thumbnails Attached Thumbnails Radius of Convergence Proof-scan0108.jpg  
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  2. #2
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    Re: Radius of Convergence Proof

    A power series converges uniformly on a closed interval within its interval of convergence, and integration and limit can be exchanged in the case of uniform convergence.
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