Home
Class 12
MATHS
The value of lim(nto oo)(1^(3)+2^(3)+3^(...

The value of `lim_(nto oo)(1^(3)+2^(3)+3^(3)+……..+n^(3))/((n^(2)+1)^(2))`

A

`1/4`

B

`1/2`

C

`1/(2sqrt(2))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 2|5 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 3|10 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(n to oo)(1)/(n).sum_(r=1)^(2n)(r)/(sqrt(n^(2)+r^(2))) is equal to

The value of lim_(ntooo)sum_(r=1)^(n)cot^(-1)((r^(3)-r+1/r)/2) is

The value of lim_(n to oo)((n!)/(n^(n)))^((2n^(4)+1)/(5n^(5)+1)) is equal

The value of lim_(nto oo)(a^(n)+b^(n))/(a^(n)-b^(n)), (where agtb) is

The value of lim_(nto oo)(1)/(2) sum_(r-1)^(n) ((r)/(n+r)) is equal to

The value of lim_(n rarr infty )n{(1)/(3n^(2)+8n+4)+(1)/(3n^(2) +16n+16)+...+n "terms"} is equal to

The value o lim_(xtooo)(1/(n^(3)))([1^(2)x+1^(2)]+[2^(2)x+2^(2)]+…..+[n^(2)x+n^(2)]) is where [.] denotes the greatest integer function.

The value of lim_(xto0){lim_(ntooo)([1^(2)(sinx)^(x)]+[2^(2)(sinx)^(x)]+……….+[n^(2)(sinx)^(x)])/(n^(3))} is (wehre [.] denotes the greatest integer function)

The value of lim_(n -> oo)(1.n+2.(n-1)+3.(n-2)+...+n.1)/(1^2+2^2+...+n^2)