Problem $2)$ Once again, consider the Taylor's series expansion for $ta{n}^{-1}x$ :

$ta{n}^{-1}x=x-\frac{x^3}{3}+\frac{x^5}{5}-$cdots$={\displaystyle \underset{n=0}{\overset{}{}}}(-1{)}^n\frac{x^{2n+1}}{2n+1}$

a$)$ Write a user$-$defined function that determines $ta{n}^{-1}x$ using the above Taylor series. For function name and arguments use $y=$atanTaylor$(x),$ where the input argument is $x$ and the output argument $y$ is the approximate value for $ta{n}^{-1}x$ obtained using Taylor's series expansion. Inside the user$-$defined function, create a loop for adding the terms of the series. In matlab