Suppose the function g statisfies - 32x – 2x2 - 120 < g(x) < r² + 16x + 72. We want to use the Squeeze Theorem to evaluate lim g(z). First evaluate: lim 32x 2x2 120 | I -8 Next evaluate: lim + 16x + 72 I -8 Therefore, by the Squeeze Theorem, lim 9(x) = I -8

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 7E
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Suppose the function g statisfies
- 32x – 2x2 - 120 < g(x) < r? + 16x + 72.
We want to use the Squeeze Theorem to evaluate lim g(z).
I→ -8
First evaluate: lim
-32x 2x2 120
I -8
Next evaluate: lim r+ 16x + 72
I- -8
Therefore, by the Squeeze Theorem, lim g(r) =
I -8
Transcribed Image Text:Suppose the function g statisfies - 32x – 2x2 - 120 < g(x) < r? + 16x + 72. We want to use the Squeeze Theorem to evaluate lim g(z). I→ -8 First evaluate: lim -32x 2x2 120 I -8 Next evaluate: lim r+ 16x + 72 I- -8 Therefore, by the Squeeze Theorem, lim g(r) = I -8
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