(i) At x = 1, the Fourier Series of f(x) = converges to: (A) 0 (B) 1 (2-2x, -1

= f(x) = { 2. Let 0 -2

Find the Fourier series of the function f(x), of period {-π,π], defined by: f(x)=1 if x≥0; f(x)=0 if x<0 graph the solution

In each part of this question, you are asked to give an example of something, and explain why it is an example. You may use all definitions, lemmas, theorems etc. from the lecture notes. (a) A sequence (an) such that, for every natural number , there exists a subsequence (an) of (an) converging to l. (You may use without proof that there exists a bijective function f: N→ NX N.)