$3.$ Write two function f$($x$)$ and fprime$($x$)$ as defined below $($functions must be written in C$++)$

f$($x$)=$ xe$-$x $+2$cos$($x$)+2$

f$($x$)=(1$ x$)$e$-$x $-2$sin$($x$)$

Now write a function to implement Newtons method, that has the following declaration

float Newton$($float x$0,$ int maxIter, float epsln$)$;

The algorithm for Newton$$s method is given as below:

For iter $=1$ to maxIter

xnew $=$ x$0$ f$($x$0)/$fprime$($x$0)$

error $=|$xnew $$ x$0|$

if error $<=$ epsln, return xnew

x$0=$ xnew

close the loop

Display the iteration did not converge

Return xnew