(a)
To find: The limit of
(a)
Answer to Problem 2E
The limit is 0
Explanation of Solution
Given information: The function is
Graph:
The given function is:
The graph of the
Observe from the graph and table that as
The table of values and
x | f(x) |
1 | 0.909297 |
10 | 0.091295 |
100 | -0.008733 |
1000 | 0.000930 |
10000 | 0.000058 |
100000 | -0.000001 |
The function tends to get closer to 0 as
With a graphing tool and a table, determine that the limit of
(b)
To find: The limit of
(b)
Answer to Problem 2E
The limit is 0.
Explanation of Solution
Given information: The function is
Graph:
The given function is:
The graph of the
The function tends to get closer to 0 as
The table of values and
x | f(x) |
-1 | 0.909297 |
-10 | 0.091295 |
-100 | -0.008733 |
-1000 | 0.000930 |
-10000 | 0.000058 |
-100000 | -0.000001 |
The function tends to get closer to 0 as
With a graphing tool and a table, determine that the limit of
(c)
To find: The horizontal asymptote
(c)
Answer to Problem 2E
Explanation of Solution
Given information: The function is
Calculation:
The given function is:
From part (a):
Therefore,
From part (b):
Therefore,
Chapter 1 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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