Q.

Let [.]  denote greatest integer function and f(x)=[tan2x],  then

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a

limx→0f(x)  does not exist

b

f(x)  is continuous atx=0

c

f(x) is not differentiable at x=0

d

f'(0)=1

answer is B.

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Detailed Solution

0≤tan2x<1 when−π4
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Let [.]  denote greatest integer function and f(x)=[tan2x],  then