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$Let [.] denote the greatest integer function and f (x) = [\tan^{2} x] . Then,$

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limx→0 f(x) does not exist

f(x) is continuous at x=0

f(x) is not differentiable at x=0

f(0)=1

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detailed solution

Correct option is B

f(x)=tan2⁡x=0 x∈-π4,π4

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Let [.] denote the greatest integer function and f(x)=tan2⁡x. Then,

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$Let [.] denote the greatest integer function and f (x) = [\tan^{2} x] . Then,$