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

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))}=

Evaluate :lim_(n rarr oo)sum_(r=1)^(n)(1)/((n^(2)+r^(2))^(1/2))

lim_(n to oo) sum_(r=1)^(n) (1)/(n)e^(r//n) is

lim_(n to oo)sum_(r=1)^(n)cot^(-1)(r^(2)+3//4) is

Evaluate: lim_(n rarr oo) (sum_(r=0)^( n) (1)/(2^(r))) .

lim_(nto oo)sum_(r=1)^(n)r/(n^(2)+n+4) equals

Let L=lim_(n rarr oo)sum_(r=1)^(n)tan^(-1)((1)/(2^(r+1)+(1)/(2^(g)))) then the value of cot L is equal to ])

If lim_(n rarr oo)(sum_(r=1)^(n)sqrt(r)sum_(r=1)^(n)(1)/(sqrt(r)))/(sum_(r=1)^(n)r)=(k)/(3) then the value of k is