If $f\left(x\right)=\{\frac{\text{sin}\left[x\right]}{\left[x\right]},f\text{or}\left[x\right]\ne 00,f\text{or}\left[x\right]=0,where\left[x\right]$ denotes the greatest integer less than or equal to $x,$ then ${\left(\text{lim}\right)}_{x\vec{0}}f\left(x\right)$ is $1$ (b) 0 (c) $-1$ (d) none of these

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