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Let f(x) = [{:(x^(2), " if x is irration...

Let `f(x) = [{:(x^(2), " if x is irrational"),(1, " if x is rational"):}`, then

A

`f(x)` is discontinuous for all x

B

discontinous for all x except at x=0

C

discontinous for all except at x=1 or `-1`

D

none of these

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Verified by Experts

The correct Answer is:
C
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MOTION-CONTINUITY -EXERCISE -2 (LEVEL -I) (SINGLE POINT DISCONTINUITY)
  1. Let f(x) = [{:(x^(2), " if x is irrational"),(1, " if x is rational"):...

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