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Math Help - Uniform Convergence

  1. #1
    Member Abu-Khalil's Avatar
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    Uniform Convergence

    Hi, im trying to prove that \sum_{k=1}^\infty\text{cosech}(kx) u.c. for |x|\geq\delta>0.

    I have a solution, but I don't understand it at all.
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  2. #2
    Member Abu-Khalil's Avatar
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    Sorry, already solved: |\text{cosech}(nx)|\leq|\text{cosech}(n\delta)|\le  q \frac{12}{n^3\delta^3}=M_n (Taylor for e^{n\delta})
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