PROBLEM 3: Taylor series - Approximations We will Taylor expand f (x) = sin(x) around x = 0. a Find the Taylor series for 1,3,5,7, and 9 terms. [5 pts] b Plot the 5 functions in part a, all in one plot. [5 pts] c How many terms will you actually need to get within 0.1 of the zeros at 127? [10pts]