Write a small C$++$ program to compute an approximation to the value of sin$($x$)$ according to the formula

sin$($x$)=$ x $$ x$^3/3!+$ x$^5/5!$ x$^7/7!+$ x$^9/9!-...+........$

The input to the program is just the number n of terms that the user wants to use in the approximation.

For instance if n$=3,$ the approximation is computed as x $$ x$^3/3!+$ x$^5/5!$

No built$-$in math library functions are allowed for this program.

Take special care to reuse as much as possible of the computation done for one term in order to obtain the next term in your loop, as shown in class.