# Advanced Calculus: series of functions

Show that the given series of functions converges uniformly on the given set D.

series n=1 to infinity (-1)^(n-1)* x^n = x- x^2+ x^3 - x^4+.......D=[-1/2, 1/2]

(Do not rely on a general fact about power series.)

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#### Solution Summary

Showing that an alternating power series of functions converges uniformly on the given set D.

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