I did not understand the lesson and would love to understand how to do it.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 69E
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I am really confused about the sandwich theorem. I did not understand the lesson and would love to understand how to do it.

Expert Solution
Step 1

Given data:

 

 

The sandwich theorem states that if f(x), g(x), and h(x) are the three functions which satisfy the inequalities,

Calculus homework question answer, step 1, image 1

For real numbers, when x approaches a, such that f(a)=h(a)=L, then the value of g(a) must be L.

Calculus homework question answer, step 1, image 2

Then, according to the sandwich or squeeze theorem,

Calculus homework question answer, step 1, image 3

 

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