Concept explainers
(a)
To find:The points of discontinuity of
(a)
Answer to Problem 19E
The point of discontinuity of
Explanation of Solution
Given information:The function is
Calculation:
The function corresponding to all the values of
As the function
The function corresponding to all the values of
As the function
Now for the continuity of
Find the left hand limit of
So, the left hand limit of
As the function corresponding to all the values of
Find the right hand limit of
So, the right hand limit of
As the left hand limit and right hand limit of
So, the function is discontinuous at
Therefore, the point of discontinuity of
(b)
To check:Whether the discontinuity of
(b)
Answer to Problem 19E
The discontinuity of
Explanation of Solution
Given information:The function is
Calculation:
As calculated in part(a), the left hand limit of
So, the left hand limit is not equal to the right hand limit of
Therefore, the discontinuity of
Chapter 2 Solutions
Calculus: Graphical, Numerical, Algebraic
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