Calculus
posted by Trevor .
If
12x − 52 ≤ f(x) ≤ x2 + 4x − 36
determine lim x→ 4 f(x) =
What theorem did you use to arrive at your answer?

on the left, as x>4, 4852
On the right, as x>4, 16+1636
so
4<=f(x)<=4
so, squeezed from the right, squeezed from the left, lim f(x) x>4 = 4