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    Uniform Convergence of Series of Functions

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    Show that the sum from 0 to infinity of (1-x)x^n does not converge uniformly on [0,1]. What subintervals of [0,1] does it converge uniforlmly on?

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    https://brainmass.com/math/real-analysis/uniform-convergence-of-series-of-functions-21208

    Solution Summary

    Uniform convergence of series of functions is investigated. The solution is detailed.

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