I need help on a Newton's Method problem. I have to "Use Newton's method to approximate the given number correct to eight decimal places".

The number is the hundredth root of 100 (100^(1/100)). When done on calculator, the result is 1.04712855. I've tried the approximation but am not able to get close.

The method is Xn+1=Xn-(f(n)/f'(n))

Thanks