Hello, I need to investigate Uniform convergence for these two using Weierstrass M-test, 10x in advance. Assaf.
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For the first problem note . Thus, and . I did not do the second problem but I would imagine you need the fact . Now let us hope that .
is is < Inf, I used my calculator to see, the question is how I show it... 10x.
Originally Posted by asi123 is is < Inf, I used my calculator to see, the question is how I show it... 10x. It is! And there is an easy way to show it. You need the fact that for . Thus, And of course, by applying Betrand's test
Originally Posted by ThePerfectHacker For the first problem note . How is it true generally?
Originally Posted by Isomorphism How is it true generally? It should be . But that does not solve the problem then. In that case we should maybe consider .
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