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Unformatted text preview: f ( x ) = x . (4) Let f n ( x ) = x n e-nx . Prove that f n converges uniformly (Hint: Use the Weierstrass M-test). (5) Prove that n =1 nx 2 n 3 + x 3 converges uniformly on [0 , 2]. 1...
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- Spring '07