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Uniform convergence of series of functions

Assignment:

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?

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Uniform convergence of series of functions

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Mathematics: Uniform convergence of series of functions

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