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Question:
Let f(x)=[x2]sinπx, x>0. Then
Let f(x)=[x2]sinπx, x>0. Then
Updated On: May 4, 2024
- f is discontinuous everywhere.
- f is continuous everywhere.
- f is continuous at only these points which are perfect squares.
- f is continuous at only these points which are not perfect squares.
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The Correct Option is C
Solution and Explanation
The correct answer is option (C) : f is continuous at only these points which are perfect squares.
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Concepts Used:
Maxima and Minima
What are Maxima and Minima of a Function?
The extrema of a function are very well known as Maxima and minima. Maxima is the maximum and minima is the minimum value of a function within the given set of ranges.
There are two types of maxima and minima that exist in a function, such as:
- Local Maxima and Minima
- Absolute or Global Maxima and Minima
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