Convergent Series - Uniform Convergence

Uniform Convergence

Main article: uniform convergence.

Let be a sequence of functions. The series is said to converge uniformly to f if the sequence of partial sums defined by

converges uniformly to f.

There is an analogue of the comparison test for infinite series of functions called the Weierstrass M-test.

Read more about this topic:  Convergent Series

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