Concept explainers
Explain what each of the following means and illustrate with sketch.
(a)
(b)
(c)
(d)
(e)
(a)
To explain: The meaning of
Explanation of Solution
Result used:
Definition of limit:
Let
Graph:
Calculation:
The limit of the function
In the limit definition
There are three cases for define
Case (1):
The limit of the function
Graph:
Case (2):
The limit of the function
Case (3):
The limit of the function
Graph:
(b)
To explain: The meaning of
Explanation of Solution
Result used:
Definition of limit:
Let
Calculation:
Graph:
(c)
To explain: The meaning of
Explanation of Solution
Result used:
Definition of limit:
Let
Calculation:
The limit of the function
Graph:
(d)
To explain: The meaning of
Explanation of Solution
Result used:
Definition of limit:
Let
Calculation:
The limit of the function
Graph:
(e)
To explain: The meaning of
Explanation of Solution
Result used:
Definition of limit:
Let
Calculation:
The limit of the function
Graph:
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