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If $[x]$ is the greatest integer function and $f (x) = [\tan^{2} x],$ then

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$f^{1} (0) = 1$

$lim_{x \to 0} f (x)$ does not exist

f(x) is not differentiable at x = 0

f(x) is continuous at x = 0

answer is B.

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Detailed Solution

As $f (x) = [\tan^{2} x] = 0$

$∴ f (x) is continuous at x = 0$

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