Problem $4(20$ pts$)$ MATLAB and Excel. Consider this series:

$ln(1+x)=x-\frac{x^2}{2}+\frac{x^3}{3}-$dots$={\displaystyle \underset{n=1}{\overset{}{}}}(-1{)}^{n+1}\frac{x^n}{n}$

a$)$ MATLAB: Write me a live script that calculates the $ln(1+x)$ for The user should be prompted for $"x",$ and "tol" using the input function and the script should check to see if $\frac{?}{abs}(x)$ is $<mn\; id="EditorElement\_804600">1</mn>$ before proceeding. If its not, you should use "disp$(\text{'}$hey $x$ has to be less than $1\text{'})"$ or something to that effect, and then "STOP". Go ahead and calculate the result until term $$ tol $($use $0\mathrm{.}0001)$ and $x=0\mathrm{.}5$ and display actual answer $(ln(1+x)),$ and the series answer, and the number of terms needed.

b$)$ EXCEL: Do the same thing in Excel, but have the use enter $x$ in some cell as well as tol. You don't have to automate your spreadsheet...just add rows until the value of the term is less than tol. $(>75$ I think$)$ Also calculate the actual value of $(ln(1+x))$