a)
To calculate: The value of the limit
The left-hand limit of the given function at
Given information:
The graph is given below.
The left-hand limit of a function at a point is defined as the approaching value of the function from the left side at that particular point.
From the provided graph, it can be observed that the function approaches 2 from the left side of
Thus, the left-hand limit of the given function at
b)
To calculate: The value of the limit
The limit of the given function at
Given information:
The graph is given below.
The left-hand limit of a function at a point is defined as the approaching value of the function from the left side at that particular point.
From the provided graph, it can be observed that the function approaches 2 from left side of
The right-hand limit of a function at a point is defined as the approaching value of the function from the right side at that particular point.
From the provided graph, it can be observed that the function approaches 2 from right side of
It is known that the limit of a function at a point exist if left-hand limit and right limit at that point are equal. From the above calculations, it can be concluded that
Thus, the limit of the given function at
Chapter 11 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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