`lim_(n rarr oo) 1/n^3sum_(r=1)^n r^2`

The value of lim_(n rarr oo)(1)/(n)sum_(r=1)^(n)((r)/(n+r)) is equal to

lim_(n rarr oo)(1)/(n^(4))sum_(r=1)^(n)r^(3)=

"lim_(n rarr oo)(1)/(n){sum_(r=1)^(n)e^((r)/(n))}=

lim_(n rarr oo)(1)/(n)sum_(r=1)^(2n)(r)/(sqrt(n^(2)+r^(2))) equals

If f(x) is integrable over [1,], then int_(2)^(2)f(x)dx is equal to lim_(n rarr oo)(1)/(n)sum_(r=1)^(n)f((r)/(n))lim_(n rarr oo)(1)/(n)sum_(r=n+1)^(2n)f((r)/(n))lim_(n rarr oo)(1)/(n)sum_(r=1)^(n)f((r+n)/(n))lim_(n rarr oo)(1)/(n)sum_(r=1)^(2n)f((r)/(n))

Find the value of lim_(n rarr oo)sum_(r=1)^(n)(r^(2))/(n^(3)+n^(2)+r)

The value of lim_(n rarr oo)(1*sum_(r=1)^(n)(r)+2*sum_(r=1)^(n-1)(r)+3sum_(r=1)^(n-2)(r)+....+n.1)/(n^(4))

lim_ (n rarr oo) sum_ (r = 1) ^ (n) (r) / (n ^ (2) + n + r) =? (1) 0; (2) (1) / (3); ( 3) (1) / (2)

lim_(n rarr oo)(sum_(r=1)^(n)r^(1/a)(n^(a-(1)/(a))+r^(a-(1)/(a))))/(n^(a+1))=