Let f() = (20 -72(x - 2)x) cos(x) + 87(x - 1) sin(x) 27 6 . You are given that: 10 (1) P3 (z) = 3(z - 2) 3(x - 2)2 (z - 2)3 + 7 6 71 4 271 4 671 2 is the cubic Taylor polynomial of f(x) at a = 2. (2) The Taylor series of f() at x = 2 is NOT alternating. (3) f(4) () = (2x - 12 ) cos(RX) Find the maximum possible error in using P3 (@) to approximate f(@) in the interval 0