Write code and solve in Matlab

The value of $sin(x)$ can be approximated as

$sin(x)=x-\frac{x^3}{3!}+\frac{x^5}{5!}-\frac{x^7}{7!}+$cdots$+\frac{x^n}{n!}$

Develop a program using the break command to end the loop once the convergence criterion is met. Determine convergence by comparing successive values of the summation as you add additional terms to the series. These successive sums should be within an absolute value of $0\mathrm{.}001$ of each other. Test your function by evaluating the sin of $2$ with your code and compare it to the built in MATLAB sin function.

Hint: Break this down into a couple of steps.

Use a for loop to create an alternating harmonic series $($HW $9$ practice $4).$

Use a for loop to create a series of only odd numbers $(1,3,5,7$dots$)$

Combine all these elements to create the code for this problem.