Problem $2/$ MatlabGrader $(16$ points$)$

The natural logarithm of a number x $>1=2$ can be approximated by the series

ln$($x$)$

XN

n$=1$

$($x $1)$n

nxn : $(1)$

Write a Matlab function myLog that takes as input x and the number N and outputs as y the estimate of ln$($x$)$ using Eq$.(1)$ and the

corresponding true relative error tre. For the true value of ln$($x$)$ use Matlab$$s build$-$in function log$($x$)$ here and in the following

problems. Code the function such that it can handle both scalar and column vector inputs for x$,$ resulting in scalar, respective

column vector outputs for y and tre. If any of the values for x are x $1=2,$ i$.$e$.,$ Eq$.1$ is not applicable, call Matlab$$s error

function and output an appropriate error message. Do not print any results to screen or do any plotting within the function.