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Weierstrass M Test

  • Definition: Let {M_n} be a sequence of nonnegative numbers such that 0 <= |f_n(x)| <= M_n, for all n and for every x in S. Then sum(f_n(x)) converges uniformly on S if sum(M_n) converges.

    Source: Mathematical Analysis, second edition by Tom M. Apostol

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