The Weierstrass M- Test

Описание к видео The Weierstrass M- Test

We prove the Weierstrass M-Test which states that if a sequence of functions is majorized by a non-negative sequence which is summable, then the sum of the f_n converges uniformly. In particular, if a sequence of continuous functions is bounded by a non-negative sequence which is summable, then the infinite sum will be continuous.

#mikethemathematician, #mikedabkowski, #profdabkowski

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