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For each positive integer `n`, let `y_(n) = 1/n ((n+1)(n+2) "……"(n+n))^(1//n)`
For `x in R`, let `[x]` be the greatest integer less than or equal to `x`. If `lim_(nrarroo) y_(n) = L`, then the value of `[L]` is `"______"`.

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