Hello, I need to investigate Uniform convergence for these two using Weierstrass M-test, 10x in advance.
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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...
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 .
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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