If $n = 1000!$,then $\frac{1}{\log_2 n} + \frac{1}{\log_3 n} + ... + \frac{1}{\log_{1000} n} = ......$

  • A
    $0$
  • B
    $1$
  • C
    $10$
  • D
    $1000$

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