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The Weierstrass M- Test
Автор: Mike, the Mathematician
Загружено: 2024-03-25
Просмотров: 3825
Описание:
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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