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

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

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

Which of the following is the value of lim_(n rarr oo)sum_(r=1)^(n)(r^(3))/(r^(4)+n^(4))?

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))

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

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

If A=([(1)/(2),0-(1)/(3),-(1)/(3)]) then lim_(n rarr oo)sum_(r=1)^(n)r*A^(r-1)

if alpha,beta be roots of equation 375x^(2)-25x-2=0 and s_(n)=alpha^(n)+beta^(n) then lim_(n rarr oo)(sum_(r=1)^(n)S_(r))=......

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