Using the Newton's method, determine the root of the function

f$($x$)=$x$--$e$^-$x $=0$ to Es$=0\mathrm{.}05\%.$ Employ initial guesses of x$0=0.$ Compute the percent relative

error $$a for each approximation.

To find this root using Newton$-$Raphson method, we can use Excel, MATLAB, or etc $....$

Note:

$($by$$hand$$repeat$$until$$error