If `lim_(n->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

Let l _(n) =int _(-1) ^(1) |x|(1+ x+ (x ^(2))/(2 ) +(x ^(3))/(3) + ..... + (x ^(2n))/(2n))dx if lim _(x to oo) l _(n) can be expressed as rational p/q in this lowest form, then find the value of (pq(p+q))/(10)

Let l _(n) =int _(-1) ^(1) |x|(1+ x+ (x ^(2))/(2 ) +(x ^(2))/(3) + ..... + (x ^(2n))/(2n))dx if lim _(x to oo) l _(n) can be expressed as rational p/q in this lowest form, then find the value of (pq(p+q))/(10)

Let P_(n)=prod_(k=2)^(n)(1-(1)/((k+1)C_(2))). If lim_(n rarr oo)P_(n) can be expressed as lowest rational in the form (a)/(b), find the value of (a+b)

5.If p+q=k and p-q=n then the value of q is

Let S_(k), be defined as sum_(n=1)^(oo)((1)/(k))^(n) where k is positive integer greater than one.If the maximum value of expression (s_(k)*s_(k+2))/((s_(k+1))^(2))can be expressed in the lowest rational as (p)/(q). find the value of (p+q)

The value of lim_(n->oo) sum_(k=1)^n log(1+k/n)^(1/n) ,is

The value of lim_(n->oo) sum_(k=1)^n log(1+k/n)^(1/n) ,is

The value of lim_(n->oo) sum_(k=1)^n log(1+k/n)^(1/n) ,is