1. Consider [3+5+2+ l + 1+2: 14 marks] 3 0I

l. Consider [3+5+2+1 I marks] 1 3 1 (a) (b) (c) (d) Sketch at least two periods of each of these periodic extensions of f.. as a periodic function of period 4 as the even periodic extension as the odd periodic extension. Compute the Fourier series for the even periodic extension. Write the partial sum of the first four non-zero terms of the Fourier series from part 1b (this is S3(x)). What does the limit of partial sums converge to at 4? At which values of x would you expect to see the Gibbs phenomena?