The function

p(x) = ln(x) sin(x)

has a root at x = 1. Write a program to find an approximation to the root at x = 1 using

a secant method. State your initial estimates, and neither of your initial estimates should

be the true value of the root. Estimate the convergence rate of your approximation method

using the results of your approximation. For the second part, do the same thing but instead

use the function (x) as defined in homework two. Compare the convergence rates for the

results of the two approximations.