LLL Consider the function S(:1) = (e" - 1)/t. (a) Use l'Hospital's rule to show that lim, , S(x) = 1. CSC 102/ENGG 101/MATH 147 Numerical Methods Homework 4 (b) Use Matlab to make a plot of S() versus r. for (2/3)* (k = 1.2..... 100). For the plot use a log scale on the x-axis (type help semilogx and help plot for help). Do you observe the correct limiting behavior as: >07 If not, at about what value of does the trouble bogin? (You need to turn in a copy of the plot).