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True or False? Why? Σ n = 1, ∞ fn(x) converges uniformly on A <=> for...

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Advance Math

True or False? Why?

Σ n = 1, ∞ fn(x) converges uniformly on A <=> for all n inN (natural numbers), there exists Mn > 0 such that |fn(x)| <=Mn for all x in A and Σ n = 1, ∞ Mn converges.

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