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[lim(x rarr0)((1^(x)+2^(x)+3^(x)+...+n^(...

[lim_(x rarr0)((1^(x)+2^(x)+3^(x)+...+n^(x))/(n))^((1)/(x))=],[[" 1) "(n!)^(n)quad " 2) "(n!)^(1/n)," 3) "n!," 4) "ln n!]]

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