The set of points of continuity when f(x)={1ifx is rational−1ifx is irrational
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a
R
b
φ
c
(−1, 1)
d
R+
answer is B.
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Detailed Solution
f(x)={1ifx is rational−1ifx is irrationalbetween two rational numbers there are infinite irrational numbers andbetween two irrational numbers there are infinite rational numbers.Clearly f(x)is discontinuous every whereSet of points of continuous=ϕ