`lim_(x-gtoo)sum_(r=0)^n()1/((r+2)n^r)=`

If sum_(r=1)^(n) a_(r)=(1)/(6)n(n+1)(m+2) for all nge1 , then lim_(ntooo) sum_(r=1)^(n) (1)/(a_(r)) , is

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

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

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

The value of lim_(ntooo)sum_(r=1)^(n)cot^(-1)((r^(3)-r+1/r)/2) is

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

If sum_(r=1)^(n)T_(r)=(n(n+1)(n+2)(n+3))/(12) then 4(lim_(x rarr oo)sum_(x-1)^(n)(1)/(T_(r))) is equal to

The value of lim_(n to oo)sum_(r=1)^(n)(1)/(n) sqrt(((n+r)/(n-r))) is :