Does the series on (0,1)? Pointwise or Uniformly? Well, so far I have this: Define the partial sum So the series converge point wise to ?
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Originally Posted by tttcomrader Does the series on (0,1)? Pointwise or Uniformly? Well, so far I have this: Define the partial sum So the series converge point wise to ? Just consider and use abel's theorem and then you can see that it does not converge unifomrly because it does not equal
Originally Posted by tttcomrader Does the series on (0,1)? Pointwise or Uniformly? Well, so far I have this: Define the partial sum So the series converge point wise to ? The sum starts at k=1, not k=0, so you need to modify the formula for slightly. To see whether or not the series converges uniformly, you need to think about what happens as .
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