Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The function f defined by f(x) = 
is
Text Solution
Verified by ExpertsThe correct answer is:
B
sin π x > 0 (1 st & 2 nd quadrant)
⇒ 2n π < π x <2n π + π ⇒ 2n < x < 2n +1, n ∈ I sin π x < 0 (III & IV quadrant) 2n π + π < π x < 2n π + 2 π
⇒ 2n +1 < x < 2n +2
f(x) = 
= 
Discontinuous at all integer.
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