(a)
To find: The limit of
(a)
Answer to Problem 5E
The limit is 3.
Explanation of Solution
Given information: The function is
Graph:
The given function is:
The graph of the function
As the graph above,
The table of values and
x | f(x) |
1 | 1.333333 |
10 | 2.583333 |
100 | 2.950980 |
1000 | 2.995010 |
10000 | 2.999500 |
100000 | 2.999950 |
With a graphing tool and a table, determine that the limit of
(b)
To find: The limit of
(b)
Answer to Problem 5E
The limit is -3
Explanation of Solution
Given information: The function is
Graph:
The given function is:
The graph of the function
As the graph above,
The table of values and
x | f(x) |
-1 | -0.666667 |
-10 | -2.416667 |
-100 | -2.931373 |
-1000 | -2.993014 |
-10000 | -2.999300 |
-100000 | -2.999930 |
With a graphing tool and a table, determine that the limit of
(c)
To find: The horizontal asymptote
(c)
Answer to Problem 5E
And
Explanation of Solution
Given information: The function is
Calculation:
The given function is :
From part a)
From part b)
Therefore,
Chapter 1 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning