lim_(n rarr oo)((sqrt(n^(2)+n)-1)/(n))^(2sqrt(n^(2)+n-1))

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lim_(n rarr oo) n(sqrt(n^(2)+8)-n) =

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lim_(n->oo) ((sqrt(n^2+n)-1)/n)^(2sqrt(n^2+n)-1)

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lim_(n rarr oo)(1+sqrt(n))/(1-sqrt(n))

The value of lim_(n rarr oo)(sqrt(3n^(2)-1)-sqrt(2n^(2)-1))/(4n+3) is