1, 0 ≤ x ≤ 1, 1. Find the Fourier sine series and Fourier cosine series for f(x) = on the lx+1, 1< x ≤2, interval [0,2]. Give the values of x in the interval [0,2] where we expect each series to converge nicely, and were we expect there to be trouble with convergence. Bonus: Display graphs of f(x) versus the graphs of the truncated versions of these Fourier series (use 200 terms) on [0,2] and comment on the behavior in each case.