Consider a function . Using the Taylor series expansions of this functions from zero- through third-order, predict the value of () with = 3 using a base point of = 1.0. For each such Taylor series approximation, list the following: (i) Approximate value of (3.0). (ii) On what order of the step size h is the truncation error? (iii) Compute the true percent relative error,t , for each approximation. Do the calculations in MATLAB with format long to maintain a good precision.

f(x) = 252.3-62.2 + 7x-88