Question

I’m not sure how to do this

Answer 1

Answer: limit as x → 0 = 30 by the Squeeze Theorem

Explanation:

30 - 6x² ≤ f(x) ≤ 30 + 6x²

as the limit approaches zero (replace x with zero):

30 - 6(0)² ≤ f(x) ≤ 30 + 6(0)²

30 ≤ f(x) ≤ 30

Since f(x) is between 30 and 30, then the limit as x approaches zero is 30.

This is called the Squeeze Theorem.