If

Question

12x − 52 ≤ f(x) ≤ x2 + 4x − 36
determine lim x→ 4 f(x) =

What theorem did you use to arrive at your answer?

Answer 1

on the left, as x>4, 48-52
On the right, as x>4, 16+16-36

so
-4<=f(x)<=-4
so, squeezed from the right, squeezed from the left, lim f(x) x>4 = -4