Answer: limit as x → 0 = 30 by the Squeeze Theorem
Step-by-step 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.
