Consider the following function.

Question

f(x) = 2x^2 − 8x

Find the limit.

lim (Δx->0) (f(x+Δx)-f(x))/(Δx)

How would I set up the equation to work with that function? I know how to plug in the values usually, but how would I do this for that function specifically since its squared and the other number has an x? Any help is greatly appreciated!

Answer 1

f(x) = 2x^2 − 8x
f(x+Δx) = 2(x+Δx)^2 − 8(x+Δx)

now just crank it out, as in the examples from your text.