a) Find a Maclaurin series expansion (a Taylor series expansion about x=0) for d S d.x Be sure to include the formula for the n-th term in the series. (Note that the first part of the series expansion of e is an Example 1 of section1.13D in Mathematical Methods in The physical Science Mary L. Boas) b)Compute the value of the integral in part a) for t = 1 to within 0.01. How many terms do you need? How do you know you don't need any more terms? c) How many terms would you need to calculate the integral in part a) to be within 0.01 for t=4?