Concept explainers
(a)
To prove: The inequalities
(a)
Explanation of Solution
Proof:
As the function
Divide all the sides of inequality by
As the function
Divide all the sides of inequality by
Hence both the inequalities
(b)
To find: The value of
(b)
Answer to Problem 66E
The value of
Explanation of Solution
Given information:
The limit
Calculation:
As proved in part(a), the inequality is
Apply limit to all the terms of inequality.
Evaluate the limit.
By Sandwich theorem, the value of
Therefore, the value of
(c)
To find: The value of
(c)
Answer to Problem 66E
The value of
Explanation of Solution
Given information:
The limit
Calculation:
As proved in part(a), the inequality is
Apply limit to all the terms of inequality.
Evaluate the limit.
By Sandwich theorem, the value of
Therefore, the value of
Chapter 2 Solutions
Calculus: Graphical, Numerical, Algebraic
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