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

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If sum_(r=1)^(n) T_(r)=(n(n+1)(n+2)(n+3))/(8) , then lim_(ntooo) sum_(r=1)^(n) (1)/(T_(r))=

l isum_(n-gtoo)sum_(r=1)^n1/(sqrt(4n^2-r^2))

The value of lim_(n->oo)sum_(r=0)^(n) (sum_(t=0)^(r-1)1/(5^n)*"^n C_r * "^r C_t .(3^t)) is equal to

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

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

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))

lim_(n rarr oo) sum_(r=0)^(n-1) 1/(n+r) =

The value of lim_(n->oo)sum_(r=1)^(n)1/(5^n).^n C_r(sum_(t=0)^(r-1).^r C_t .3^t) is equal to