The sine function can be evaluated by the following infinite series:

$sinx=x-\frac{x^3}{3!}+\frac{x^5}{5!}-$dots

Create a function file to implement this formula where the input parameters are $x$ and $n$ for the number of terms to be computed. Return a vector series comprised of each term in the sequence i$.$e $x,x-\frac{x^3}{3!},x-\frac{x^3}{3!}+\frac{x^5}{5!},$dots. From the main program $($this file$)$ compute and display the error

$\%$ error $=\frac{\text{t}\text{r}\text{u}\text{e}-\text{s}\text{e}\text{r}\text{i}\text{e}\text{s}\text{a}\text{p}\text{p}\text{r}\text{o}\text{x}\text{i}\text{m}\text{a}\text{t}\text{i}\text{o}\text{n}}{\text{t}\text{r}\text{u}\text{e}}100\%$

between the series approximations using your own function where $x=0\mathrm{.}8,n=5$ and the true value found with the built$-$in $sin(x)$ function.

Please solve using matlab