
Concept explainers
(a)
To find: The limits of
(a)

Answer to Problem 65E
The limits of
Explanation of Solution
Given information:
The functions
Calculation:
Evaluate the limit.
And,
So, the limit of function
Evaluate the limit.
The limit of function
So, the value of
Evaluate the product function.
Evaluate the limit.
So, the value of
Therefore, the limits of
(b)
To find: The limits of
(b)

Answer to Problem 65E
The limits of
Explanation of Solution
Given information:
The functions
Calculation:
Evaluate the limit.
And,
So, the limit of function
Evaluate the limit.
The limit of function
So, the value of
Evaluate the product function.
Evaluate the limit.
So, the value of
Therefore, the limits of
(c)
To find: The limits of
(c)

Answer to Problem 65E
The limits of
Explanation of Solution
Given information:
The functions
Calculation:
Evaluate the limit.
And,
So, the limit of function
Evaluate the limit.
So, the value of
Evaluate the product function.
Evaluate the limit.
So, the value of
Therefore, the limits of
(d)
To find: The limits of
(d)

Answer to Problem 65E
The limits of
Explanation of Solution
Given information:
The functions
Calculation:
Evaluate the limit.
And,
So, the value of
Evaluate the limit.
So, the value of
Evaluate the product function.
Evaluate the limit.
So, the value of
Therefore, the limits of
(e)
To find: The value of
(e)

Answer to Problem 65E
The value of
Explanation of Solution
Given information:
Suppose that
Calculation:
Evaluate the limit.
As we have seen in above subparts that sometimes the limit of product exist and sometimes not.
So, the value of
Chapter 2 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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