Unformatted text preview:  f k (x)  ≤ M k on [a,b] for k = 1 , 2 , 3 ,... , and ∞ s k = 1 M k converges, then ∞ s k = 1 f k (x) converges uniformly on [a,b] ....
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 Fall '10
 wen
 Polynomials, Approximation, Mathematical analysis, Uniform convergence, Karl Weierstrass, Stone–Weierstrass theorem, Verges, Weierstrass approximation theorem

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