If $[x]$ is the greatest integer function,then $\lim _{x \rightarrow 2^{+}}\left(\frac{[x]^3}{3}-\left[\frac{x}{3}\right]^3\right)=$

  • A
    $0$
  • B
    $\frac{64}{27}$
  • C
    $\frac{8}{3}$
  • D
    $\frac{7}{3}$

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