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

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

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

The value of lim_(n rarr oo)sum_(r=1)^(n)(1)/(sqrt(n^(2)-r^(2)x^(2))) is

Evaluate lim_(n rarr oo)[sum_(r=1)^(n)(1)/(2^(r))], where [.] denotes the greatest integer function.

If sum_(r=1)^(n)a_(r)=(1)/(6)n(n+1)(n+2) for all n>=1 then lim_(n rarr oo)sum_(r=1)^(n)(1)/(a_(r)) is

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

Evaluate: lim_(n rarr oo)(sum_(r=1)^(n)sqrt(r)sum_(r=1)^(n)(1)/(sqrt(tau)))/(sum_(r=1)^(n)r)

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

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