Question

lim
h->0
f(x+h)-f(x)/h
Evaluate this limit for the given value of x and function f.
f(x) = x², x= -9

Answer 1

Answer:

Step-by-step explanation:

f(-9+h)= (-9+h)² = h²-18h+81

f(-9+h)-f(-9)=h²-18h+81 -81 because : f(-9) = (-9)² = 81

f(-9+h)-f(-9)=h²-18h

(f(-9+h)-f(-9))/h=(h²-18h)/h = h(h-18)/h =h-18

lim  (f(-9+h)-f(-9))/h = lim(h-18= - 18

h→0                             h→0