Home
Class 12
MATHS
If 1/1^3+[1+2]/[1^3+2^3]+[1+2+3]/[1^3+2^...

If `1/1^3+[1+2]/[1^3+2^3]+[1+2+3]/[1^3+2^3+3^3]+.....` upto n terms,then `lim_(n->oo)[S_n]`, where [.] denotes the greatest integer function.

Promotional Banner

Similar Questions

Explore conceptually related problems

Evaluate lim_(n->oo) [sum_(r=1)^n(1/2) ^r] , where [.] denotes the greatest integer function.

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 (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)]

Evaluate lim{n-> oo) ([1.2x]+[2.3x]+.....+[n.(n+1)x])/(n^3)), where [.] denotes greatest integer function.

show that [(sqrt(3) +1)^(2n)] + 1 is divisible by 2^(n+1) AA n in N , where [.] denote the greatest integer function .

show that [(sqrt(3) +1)^(2n)] + 1 is divisible by 2^(n+1) AA n in N , where [.] denote the greatest integer function .

The value of lim_(nto oo)(sqrt(n^(2)+n+1)-[sqrt(n^(2)+n+1)]) where [.] denotes the greatest integer function is

The value of lim_(nto oo)(sqrt(n^(2)+n+1)-[sqrt(n^(2)+n+1)]) where [.] denotes the greatest integer function is

f(n)=(1^(2)n+2^(2)(n-1)+3^(2)(n-2)+...+n^(21))/(1^(3)+2^(3)+3^(3)+......+n^(3)) then (where [.] denotes greatest integer function)