(a)
To find: The vertical asymptotes of the graph of.
(a)
Answer to Problem 31E
Vertical asymptotes at
Explanation of Solution
Given information: The fraction is
Calculation:
The line
The given function is:
This can be rewritten as
(1) For all real numbers, the numerator of
(2) When x is an integer multiple of
(3) When
As a result
(b)
To write: The behavior of
(b)
Answer to Problem 31E
The left hand limit is
Explanation of Solution
Given information: The fraction is
Graph:
The graph of the function is shown below:
The function
Now we can see that if get closer to any of the asymptotes from the left side then the function tends to go
The left hand limit is
Chapter 1 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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