Let $[x]$ denote the greatest integer less than or equal to $x$ and $f(x) = [\tan^2 x]$. Which of the following is true?
- A$\lim_{x \to 0} f(x)$ does not exist
- B$f(x)$ is continuous at $x = 0$
- C$f(x)$ is not differentiable at $x = 0$
- D$f'(0) = 1$
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