If I have shown that is uniformly convergent on [0,1], where , how would I then go about showing that ? All help appreciated!
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Hello, Originally Posted by converge2 If I have shown that is uniformly convergent on [0,1], where , how would I then go about showing that ? All help appreciated! Since converges uniformly, we can invert the sum and the integral. And hence can you finish it ? expand and be careful with the case k=1.
Originally Posted by converge2 If I have shown that is uniformly convergent on [0,1], where , how would I then go about showing that ? All help appreciated! How about expanding the integrand as a power series and the integrating term by term? CB
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