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Q.

Let [x]  denotes the greatest integer less than or equal to x  and f(x)=[tan2x] .  Then,

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a

limx→0f(x)  does not exist

b

f(x)  is continuous at x=0

c

f(x)  is not differentiable at x=0

d

f'(0)=1

answer is B.

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Let [x]  denotes the greatest integer less than or equal to x  and f(x)=[tan2x] .  Then,