- #1

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## Homework Statement

## Homework Equations

## The Attempt at a Solution

This is not graded homework, but optional exercises I found in my textbook. It's days before my exam, but I'm still not sure how to do problems like this. I would really appreciate if someone can teach me how to solve this.

For part a, I think we have to look at the partial sum, but how can we get the partial sum in the first place?

For part b, should we use the Weierstrass M-test? Is it true that to prove that a SERIES of functions is uniformly convergent, most of the time we're going to use the Weierstrass M-test? Is this the only way?

Thanks a lot!