Use the Squeeze Theorem to find the following limit when c = 0, 6 − x2 ≤ f(x) ≤ 6 + x2. lim x→c f(x)

Question

Use the Squeeze Theorem to find the following limit when c = 0,

 6 − x² ≤ f(x) ≤ 6 + x².

lim x→c f(x)

Answer 1

The limit of 6-x^2 as x goes to 0 is 6 and the limit of 6+x^2 as x goes to 0 is 6. Therefore, by the squeeze theorem the limit of f(x) as x goes to 0 is 6.