Write a program in Java or matlab:

Reproduce Figure 1.2 as well as adding the curve for S_4.

A Taylor series converges rapidly near the point of expansion and slowly (or not at all) at more remote points. A graphical depiction of the phenomenon can be obtained by graphing a few partial sums of a Taylor series. In Figure 1.2, we show the function y = sinx S FIGURE 1.2 Approximations to sin x and the partial-sum functions Sy = Ss=x-*+ 61 which come from Series (2). While S, may be an acceptable approximation to sinx when x 0, the graphs for Sz and Ss match that of sin x on larger intervals about the origin. All of the series illustrated above are examples of the following general series