Using Matlab:

Natural Logarithm via Taylor's Series and Newton-Raphson: (35 points) ) Write a function that computes the natural logarithm of x, using the Taylor's Series (TS) for log(x) ( natural log )The basic definition is given in the following formula (10 points) log(x)=(-1)(k+14(x_1Nk for o 2, then you should use the identity of log(x) - log(2) + log(x2). Do not compute log(2). but use a constant of 0.69314718055994529 We will want to return the number of iterations required to attain the solution, since this shows how well the algorithm converges. Prototype function [y, terms TS-log{ x, MaxTerms ) t ly,terms ] # TS-log (x, MaxTerms ) Compuses log of the number x, using a maximum of MaxTerms in the Taylor's Series Input: umber that we want the nacuzal log of Outpury-1og of x MaxTerms - The m ximcm number of terms tht are to be used (default: L0001 terms number ot terms used