lim_(n rarr oo)[(n)/(n^(2)+1^(2))+(n)/(n^(2)+2^(2))+cdots+(1)/(2n)

The value of lim_(n rarr oo)[(n)/(n^(2)+1^(2))+(n)/(n^(2)+2^(2))++(1)/(2n)] is

lim_(n rarr oo)2^(1/n)

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

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

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

lim_(n rarr oo) (nsqrt(n^(2)+1)-n) =

lim_(n rarr oo)(e^(2n)(n!)^(2))/(2n^(2n+1))

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

lim_(n rarr oo) { n/(n^(2)+1^(2)) + n/(n^(2)+2^(2))+......+ n/(n^(2)+n^(2))} is equal to