The Easy Factlog

Algebra Level 2

1log2n+1log3n++1log2006n \large\dfrac { 1 }{ \log _{ 2 }{ n } } +\dfrac { 1 }{ \log _{ 3 }{ n } } +\ldots +\dfrac { 1 }{ \log _{ 2006 }{ n } }

If n=2006!n=2006!, then what is the value of the expression above?

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