If `1+(1+2)/2+(1+2+3)/3+.....` to n terms is S. Then , S is equal to

If 1/1^3 + (1+2)/(1^3+2^3)+(1+2+3)/(1^3+2^3+3^3) +.......n terms then lim_(n->oo) [S_n]

If S_(1), S_(2) and S_(3) denote the sum of first n_(1) , n_(2) and n_(3) terms respectively of an A.P.L , then : (S_(1))/(n_(1)) . ( n _(2) - n_(3)) + ( S_(2))/( n_(2)). ( n _(3) - n_(1)) + ( S_(3))/( n_(3)) . ( n_(1) - n_(2)) is equal to :

S_(n)=(1)/(1^(3))+(1+2)/(1^(3)+2^(3))+(1+2+3)/(1^(3)+2^(3)+3^(3))+......+(1+2+....+n)/(1^(3)+2^(3)+......+n^(3)).100S_(n)=n then n is equal to :

If (1)/(1^(3))+(1+2)/(1^(3)+2^(3))+(1+2+3)/(1^(3)+2^(3)+3^(3))+......n terms then lim_(n rarr oo)[S_(n)]

If s _(n) = cos ((n pi)/(10)), n = 1,2,3,..., then the value of of (s _(1) s _(2) ...s _(10))/( s _(1) + s _(2) + ....+ s _(10)) is equal to