Question

If lim f(x) - 4/(x - 4) = 11, find lim f(x).

Answer 1

lim f(x)=(11x-40)/(x-4) // for all x's, except x=4

lim f(x) ≈ ∞ // if x=4

Explanation:

lim f(x) - 4/(x - 4) = 11

lim f(x) = 11 + 4/(x - 4)= (11x-40)/(x-4)

at x=4, there is a indetermination point, the function tends to infinity at that point

So:

lim f(x)=(11x-40)/(x-4) // for all x's, except x=4

lim f(x) ≈ ∞ // if x=4