Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If f(x) = 
, where { . } denotes the fractional part function, then:
Text Solution
Verified by ExpertsThe correct answer is:
D
f (0) = 
f (0 + ) = 
= f(0)
f(x) is not continuous at x = 0 at x = 2,
f(2 + ) = 2 + 2 + 2 sin 2 = 4 + 2 sin 2
f(2 – ) = 2 + 1 + 2 sin 1 = 3 + 2 sin 1
f(x) is not continuous at x = 2
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