Posted by **Trevor** on Friday, October 15, 2010 at 6:39pm.

If

12x − 52 ≤ f(x) ≤ x2 + 4x − 36

determine lim x→ 4 f(x) =

What theorem did you use to arrive at your answer?

- Calculus -
**bobpursley**, Friday, October 15, 2010 at 7:13pm
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

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