a.
To calculate: The domain and the rage of the function
a.
Answer to Problem 4QQ
The domain is
Explanation of Solution
Given Information:
The function is
Calculation:
Consider the given function,
To find the domain of the given equate the denominator to zero.
So the domain is defined as,
Now, find the range of the function.
The set of range is real numbers. There is no restrict value for range.
Therefore, the domain is
b.
The given function
b.
Answer to Problem 4QQ
The given function is even function.
Explanation of Solution
Given information:
The function is
Formula Used:
A function is said to odd function if
Calculation:
Consider the given equation,
First check that the given function is even function.
So, the given function is not even function.
Check for the odd function.
So, the function is odd function.
Therefore, the given function is odd function.
c.
To calculate: The limit of the function as
c.
Answer to Problem 4QQ
The limit of the function is zero.
Explanation of Solution
Given information:
The function is
Formula Used:
The cosine function is defined as,
i
Calculation:
Consider the given equation,
Take the limit of the function.
Therefore, the limit of the function is 0.
d.
The justification for the part (c) by using the squeeze theorem.
d.
Answer to Problem 4QQ
The limit of the function is zero.
Explanation of Solution
Given information:
The function is
Calculation:
Consider the given equation,
The Squeeze theorem state that if
Take the limit of the function.
Therefore, the limit of the previous part (a) has proved.
Chapter 1 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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