Problem $2/$ Mat labGrader $(16$ points$)$

The natural logarithm of a number $x>\frac{1}{2}$ can be approximated by the scrics

$ln(x)$~~${\displaystyle \underset{n=1}{\overset{N}{}}}\frac{(x-1{)}^n}{n{x}^n}$

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 truc relative crror 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 $x\frac{1}{2},$ i$.$c$.,$ Eq$.$ I is not applicable, call Matlab's error function and output an appropriate crror message. Do not print any results to screen or do any plotting within the function.

Required submission:

$$ well commented script source code submitted to Canvas link "Exam $1-$ Problem $2"$: