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lim(nrarroo)[(n+1)/(n^(2)+1^(2))+(n+2)/(...

`lim_(nrarroo)[(n+1)/(n^(2)+1^(2))+(n+2)/(n^(2)+2^(2))+(n+3)/(n^(2)+3^(2))+...+(1)/(n)]`

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lim_(n rarr oo) [(n+1)/(n^(2)+1^(2))+(n+2)/(n^(2)+2^(2))+(n+3)/(n^(2)+3^(2))+.....+(1)/(n)]

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Evaluate : lim_(nrarroo)[(1+(1)/(n^(2)))^((2)/(n^(2)))(1+(2^(2))/n^(2))^((4)/(n^(2)))(1+(3^(2))/(n^(2)))^((6)/(n^(2)))...(1+(n^(2))/(n^(2)))^((2n)/(n^(2)))]