`sum_(k=1)^n k^3=`

lim_(n rarr oo) 1/n^(3) sum_(k=1)^(n) k^(2)x =

Evaluate : sum_(k=1)^n (2^k+3^(k-1))

Evaluate : sum_(k=1)^n (2^k+3^(k-1))

If sum_(k=1)^(n)4(k-3)=An^(2)+Bn+C,n in N then |A+B-C| equals

Value of L = lim_(n->oo) 1/n^4 [1 sum_(k=1)^n k + 2sum_(k=1)^(n-1) k + 3 sum_(k=1)^(n-2) k +.....+n.1] is

If lim_(n rarr oo)sum_(k=1)^(n)(k^(2)+k)/(n^(3)+k) can be expressed as rational (p)/(q) in the lowest form then the value of (p+q), is

S_(n)=sum_(k=1)^(n)(k^(2)+n^(2))/(n^(3)) and T_(n)=sum_(k=0)^(n-1)(k^(2)+n^(2))/(n^(3)),n in N then

If a_(k) = (1)/( k(k+1) ) for k= 1,2,3,….n then (sum_(k=1)^(n) a_(k) )=