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n, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Determine the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001. f( x) = sin x = x - x 3 3 ! Step 1 Recall that if a function f is differentiable through order n + 1 on an interval I containing c, then for each x in I there exists z between x and c such that, PM(X ) = 1(C) + F'(c)x + "(c)x2 + 1" (c )x3 + 2! 3! - + L + Rn (x), where R (x ) = fu * (2 ) ( x - c)n + 1. (n + 1)! The third degree Taylor polynomial is given, so we must find R5(x). f(4)(x) = sin (x) sin(x) Step 2 We need R5 (x)