Hey, I have some questions from my Differential class that I am really confused on. I still don't completely understand Fourier, but I really don't understand this. I don't want the answers, just someone to explain how to go about doing these. Thanks!

Problem 1

Let for and suppose for all . By , we denote even integers. Define for . Calculate the Fourier Series for .

Problem 2

Show, by the result of the last problem, . Derive a series which converges to by setting to a particular value and doing a little algebra. How many terms in this series would you have to sum in order to obtain the digits 3.14 in with certainty?