If $f(x) = \begin{cases} \frac{\sin[x]}{[x]}, & [x] \neq 0 \\ 0, & [x] = 0 \end{cases}$ where $[x]$ denotes the greatest integer less than or equal to $x$,then $\lim_{x \to 0^-} f(x)$ is:
- Aexists and is equal to $1$
- Bexists and is equal to $\sin 1$
- Cexists and is equal to $-\sin 1$
- DDoes not exist
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