1. Let x = 2. To avoid subtraction of nearly equal numbers, find an alternative form f(h) f(h) to evaluate f(h) = (x^4 - (x-h)^4)/(h)

   for small h. Compute f (h) using MATLAB/Octave based on the formula and the alternative form f(h) you propose, and report your results for h = 10^-1,10^-2,...,10^-15 on a semilogx plot. What is the limit as h goes to 0 of f(h)? Does your modified function compute more accurately for small h?