Question

Find

lim f(x+h) - f(x) / h
h -> 0
for f(x) = 5-2x

Answer 1

If f(x) = 5-2x

lim f(x+h) - f(x) / h
= lim (5 - 2(x+h) - 5 + 2x)/h
= lim (5 - 2x - 2h - 5 + 2x)/h
= lim (-2h)/h
= -2