(a)
To find: The limit of
(a)
Answer to Problem 3E
The limit is 0
Explanation of Solution
Given information: The function is
Graph:
The given function is:
The graph of the function
The table of values and
x | f(x) |
1 | 0.3678794 |
2 | 0.0676676 |
4 | 0.0045789 |
8 | 0.0000419 |
16 | 0.0000000 |
32 | 0.0000000 |
A fraction in which the numerator is constant and the denominator increases without bounds ,Indeed the quotient must tend to 0. Therefore, the function
With a graphing tool and a table, determine that the limit of
(b)
To find: The limit of
(b)
Answer to Problem 3E
The limit is 0.
Explanation of Solution
Given information: The function is
Graph:
The given function is:
The graph of the function
The table of values and
x | f(x) |
-10 | -2202.65 |
-11 | -5443.1 |
-12 | -13,562.9 |
-13 | -34,031.8 |
-14 | -85,900.3 |
-15 | -217,934 |
-16 | -555,382 |
With a graphing tool and a table, determine that the limit of
(c)
To find: The horizontal asymptote
(c)
Answer to Problem 3E
And,
There isn't a horizontal asymptote in the opposite direction.
Explanation of Solution
Given information: The function is
Calculation:
The given fraction is:
From part a)
From part b)
There isn't a horizontal asymptote in the opposite direction.
Chapter 1 Solutions
CALCULUS-W/XL ACCESS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning