Use Matlab to do I need the code QUESTION $2$: $[33]$

The inverse of the mathematical constant $e$ can be approximated as follow:

$\frac{1}{e}$~~$(1-\frac{1}{n}{)}^n$

Write a script that will loop through values of $n$ until the difference between the approximation and the

actual value is less than $0\mathrm{.}001.$ The script should then print out the built$-$in value of $e^{-1}$ and the

approximation to four decimal places, and also print the value of $n$ required for such accuracy.$|$