(a)
To find: The limit of
(a)
Answer to Problem 1E
The limit is 1.
Explanation of Solution
Given information: The limit is
Graph:
The given limit is:
The graph of the
Determine that the limit is 1 as
Therefore, the required
(b)
To find: The limit of
(b)
Answer to Problem 1E
The limit is 1.
Explanation of Solution
Given information: The limit is
Graph:
The given limit is:
The graph of the
The graph of the function and its limit as
The table of values and
x | f(x) |
-1 | 0.5403023059 |
-10 | 0.9950041653 |
-100 | 0.9999500004 |
-1000 | 0.9999995000 |
-10000 | 0.9999999950 |
Therefore, the required limit is 1.
(c)
To find: The horizontal asymptote
(c)
Answer to Problem 1E
Explanation of Solution
Given information: The limit is
Calculation:
The given limit is:
Use parts a and b to determine the value the limit tends to when x tends to positive or negative infinity in order to discover the horizontal asymptotes.
Therefore,
Chapter 1 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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