If $f(x) = [x] - [\frac{x}{4}]$,$x \in R$,where $[x]$ denotes the greatest integer function,then
- ABoth $\lim_{x \to 4^-} f(x)$ and $\lim_{x \to 4^+} f(x)$ exist but are not equal
- B$\lim_{x \to 4^-} f(x)$ exists but $\lim_{x \to 4^+} f(x)$ does not exist
- C$\lim_{x \to 4^+} f(x)$ exists but $\lim_{x \to 4^-} f(x)$ does not exist
- D$f$ is continuous at $x = 4$
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