If $f(x) = [x] - [\frac{x}{4}]$,$x \in R$,where $[x]$ denotes the greatest integer function,then:

  • A
    $\lim_{x \rightarrow 4^{-}} f(x)$ exists,but $\lim_{x \rightarrow 4^{+}} f(x)$ does not exist.
  • B
    $f(x)$ is continuous at $x = 4$.
  • C
    $\lim_{x \rightarrow 4^{+}} f(x)$ exists,but $\lim_{x \rightarrow 4^{-}} f(x)$ does not exist.
  • D
    Both $\lim_{x \rightarrow 4^{-}} f(x)$ and $\lim_{x \rightarrow 4^{+}} f(x)$ exist,but are not equal.

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