Chapter 2, Problem 5P

Develop, debug, and document a program for Prob. 2.4 in either a high-level language or a macro language of your choice. Employ the library function for the sine in your computer to determine the true value. Have the program print out the series approximation and the error at each step. As a test case, employ the program to compute $\sin \left(1.5\right)$ for up to and including the term $x^{15}\text{/15!}$. Interpret your results.