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" 1."lim(n rarr oo)((sqrt(n^(2)+n)-1)/(n...

" 1."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) =

lim_(n rarr oo) n(sqrt(n^(2)+6)-n) =

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

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

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

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

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

lim_ (n rarr oo) (sqrt (n ^ (4) +1) -sqrt (n ^ (4) -1))