Find the limit
posted by Michael on .
Compute lim f(2+h)f(2)
h>0 
h

did you mean
Compute lim( f(2+h)f(2) )/h as h > 0 ?
If so, then this has the appearance of attempting to find the derivative of f(x) = x by First Principles when x = 2
Short way is to know that
f ' (x) = 1 , and so the result would be 1
long way:
lim( f(2+h)f(2) )/h as h > 0
= lim ( x + h  x)/h as h > 0
= lim h/h
= 1