Concept explainers
To explain: A convincing argument that the function
Answer to Problem 64E
The function is not continuous at every real number as the limiting value at any point is not equal to the functional value.
Explanation of Solution
Given information: The function is
A function is said to be continuous at any number
But the open interval around any number contains many irrational and rational numbers. So, the limiting value at the points is must not equal to the functional value at that point.
As the limiting value of function at irrational point is
Therefore, the function is not continuous at every real number as the limiting value at any point is not equal to the functional value.
Chapter 2 Solutions
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