Write a program in a C$++$ program that determine $$ by using the

Taylor series representation. The program calculates $$ by adding

terms of the series and stopping when the absolute value of the term

that was added last is smaller than $0\mathrm{.}0001.$

Use a while$-$end loop, but limit the number of passes to $30.$ If in the

$30$th pass the value of the term that is added is not smaller than

$0\mathrm{.}0001,$ the program stops and displays a message that more than $30$

terms are needed. Use the program to calculate$2,4,$ and $21.$