Concept explainers
(a)
To find: the limit of f when t approaches in infinity.
(a)
Answer to Problem 39E
The limit of the function approaches 1 when t approaches infinity.
Explanation of Solution
Given information:
The function
The level of oxygen is
Calculation:
It is given that the level of oxygen is
The limit of the function as x approaches infinity.
If t approaches infinity, then
Therefore, the limit of the function approaches 1 when t approaches infinity.
(b)
To sketch: the graphs of the function f and verify the result of part (a).
(b)
Explanation of Solution
Graph:
The graph of the function f as shown in Figure 1.
Interpretation:
From Figure 1, it is observed that the value of the function f approaches 1 whenever x is larger and large.
That is, the limit of the function f is 1 as x approaches infinity.
(c)
To explain: the meaning of the limit in context of the problem.
(c)
Answer to Problem 39E
The level of oxygens gets normal level over the long period of time.
Explanation of Solution
Interpretation:
In the context of the problem, the value of the function
Here, the function
It is given in the problem that
The term
Therefore, the level of oxygens gets normal level over the long period of time.
Chapter 12 Solutions
EBK PRECALCULUS W/LIMITS
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