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Question

Mathematics Question on Maxima and Minima

Let f(x)=[x2]sinπx, x>0. Then

A

f is discontinuous everywhere.

B

f is continuous everywhere.

C

f is continuous at only these points which are perfect squares.

D

f is continuous at only these points which are not perfect squares.

Answer

f is continuous at only these points which are perfect squares.

Explanation

Solution

The correct answer is option (C) : f is continuous at only these points which are perfect squares.