Evaluate `("lim")_(nvecoo)sum_(k=1)^nk/(n^2+k^2)`

S= lim_(nrarroo) sum_(k=0)^n 1/sqrt(n^2 + k ^2)

Find the value of lim_(n rarr oo)sum_(k=1)^(n)((k)/(n^(2)+k))

The value of Lim_(n rarr oo)sum_(k=1)^(n)(n-k)/(n^(2))cos((4k)/n) equals

The value of lim_(n rarr oo)sum_(k=1)^(n)(6^(k))/((3^(k)-2^(k))(3^(k+1)-2^(k+1))) is equal to

Find the value lim_(n rarr oo) sum_(k=2)^(n) cos^(-1) ((1 + sqrt((k -1) k(k + 1) (k + 2)))/(k(k + 1)))

The value of lim _( x to oo) sum _(k =1) ^(n) ((k)/(n ^(2) +n +2k))=

The value of lim_(n rarr oo)sum_(k=1)^(n)log(1+(k)/(n))^((1)/(n)) ,is

lim_ (n rarr oo) sum_ (k = 1) ^ (n) (k) / (n ^ (2) + k ^ (2)) is equals to

Evaluate: lim_ (n rarr oo) (1) / (n ^ (2)) sum_ (k = 0) ^ (n-1) [k int_ (k) ^ (k + 1) sqrt ((xk) (k + 1-x)) dx]