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Let f defined on [-5, 5] as f(x)={{:("x,...

Let f defined on `[-5, 5]` as `f(x)={{:("x, if x is rational"),("-x, if x is irrational"):},` then f(x) is

A

continuous at every x except x = 0

B

discontinuous at every x except x = 0

C

continuous everywhere

D

discontinuous every where

Text Solution

Verified by Experts

The correct Answer is:
B
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