Prove that if on an interval the functions are continuous and converge uniformly to then on converges uniformly to
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is continuous and therefore integrable over 'cause uniformly and each is continuous there. Let . So we wanna prove that uniformly. Let , then . Notice that we have
Originally Posted by Anonymous1 Prove that if on an interval the functions are continuous and converge uniformly to then on converges uniformly to , so : . Tonio
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