In: Advanced Math
6. The function f(t) =
0 for − 2 ≤ t < −1
−1 for − 1 ≤ t < 0
0 for t = 0
1 for 0 ≤ t < 1
0 for 1 ≤ t ≤ 2
can be extended to be periodic of period 4. (a) Is the extended function even, odd, or neither? (b) Find the Fourier Series of the extended function.(Just write the final solution.)