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Unformatted text preview: the sequence of functions dened by f n ( t ) = ( n t ) 2 t 2 + (1nt ) 2 converges uniformly on [0 , 1]. 5. For each n > 0 let f n : [0 , 1] [0 , 1] be continuous; assume that each f n is dierentiable on (0 , 1) with  f n  6 M . Show that some subsequence of ( f n ) n> converges uniformly on [0 , 1]. 1...
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 Spring '11
 Robinson

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