Question

Let f(x)=4−x^2. Find each of the following:

(f(2+h)- f(2))/h = ________

lim h->0 (f(2+h)- f(2))/h = ______

Answer 1

find f(2+h)=4-(2+h)^2 work that out.
= 4-(4+4h+h^2)=-h(4-h)

find f(2)=4-4=0

then f(2+h)-f(2)=-h(4-h)

then divide that by h and find the lim

Lim -(4-h)=-4

Surely you can do these step by step.