If $[x]$ is the greatest integer function then $\lim _{x \rightarrow 3^{-}} \frac{(3-|x|+\sin |3-x|) \cos [9-3 x]}{|3-x|[3 x-9]}=$

• A

  $0$
• B

  $1$
• C

  $2$
• Correct answer
  D

  $-2$

Hence, the correct answer is option: 'D'.