Consider the following sum:

$S=0\mathrm{.}5+\frac{x^{21+1}}{(21)!}+\frac{x^{22+1}}{(22)!}+$cdots$+\frac{x^{2j+1}}{(2j)!}+$cdots$\frac{x^{2n+1}}{(2n)!}$

Write a MATLAB code that does the following:

$1-$ For $n=50$ and for $20$ values of $x$ from $0$ to $2$ compute and display the sum $S.$

Hint: You need a nested for loop

$2-$ Make a plot of $x$ versus $S$ with appropriate labels.