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!