Question

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

• A. $\displaystyle\lim_{x \to 0} f(x)$ 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 1

Answer: (B)

$f (x)$ is continuous at $x = 0$

Answer 2

Answer (b) $f (x)$ is continuous at $x = 0$