(a) (12 points) Consider fixed point iterations In+1 = 2 sin In + tan Er - 3.En, where g(x) = 2 sin x + tanx - 3.c. Find its order of convergence at fixed point a = 0. (Hint: Using Tayor's series might be easier.) (b)(8 points) For some Newton's Method, following are the iterative values of ci's: 1.5673, 1.4945, 1.4554, 1.4351. What is the multiplicity m of this root? Also can you obtain an approximate value of the root (where the sequence will ultimately converge)