Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let f(x) = [tan 2 x], where [.] denotes the greatest integer function. Then
A
f(x) doesn’t exist
B
f(x) is continuous at x = 0
C
f(x) is not differentiable at x = 0
D
f ′ ′ (0) = 1
Text Solution
Verified by ExpertsThe correct answer is:
B
[tan 2 (0 + h)] = 
[tan 2 (0 – h)] = [tan 2 0] = 0
⇒ ⇒ f(x) is continuous at x = 0.
Since f(x) = 0 in the neighbourhood of 0, f ′ ′ (0) = 0
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