1. Let f (t) be a function defined by f (t) = ) -t2 - 2t, if - 2

1. Let f (t) be a function defined by (a) (b) (c) 2t, if -2 S t < O and f (t + 4) = f (t). t2 2t, if 0 S t < 2 Sketch the graph of f (t) for 4 t 4, and state whether f (t) is an even function, odd function, or neither even nor odd. Find the Fourier series of f (t). Using your answer in part (b), find the value of (-1)n n=l