Quote:
Originally Posted by devarajkandadai
Recall that Taylor's theorem can be stated as
f(x+h) =f(x) + hf'(x)..h^2/2!f''(x)......
Just replace h by f(x) and you get the required proof.

I still don't see it. Taylor's Theorem is defined for real numbers. You state x is in N. What is the derivative of f(x)? Can you give the first three terms of f(x+h)?