It is known that x 2 + 4x ≤ f(x) ≤ -x 2 -4x on the interval [-4, 0]. Use the Squeeze Theorem to evaluate lim f(x) as x--2

The answer choices are -4, 0, 4, or Squeeze Theorem does not apply.

I've done the work myself, and what I've got for the two outside functions when I used direct substitution were: -4 ≤ f(x) ≤ 4. I'm so confused... am I not supposed to get the same values for the outside functions in order for the Squeeze Theorem to work?

Question

It is known that x 2 + 4x ≤ f(x) ≤ -x 2 -4x on the interval [-4, 0]. Use the Squeeze Theorem to evaluate lim f(x) as x->-2

The answer choices are -4, 0, 4, or Squeeze Theorem does not apply.

I've done the work myself, and what I've got for the two outside functions when I used direct substitution were: -4 ≤ f(x) ≤ 4. I'm so confused... am I not supposed to get the same values for the outside functions in order for the Squeeze Theorem to work?

zarkon · Answer

yes