Home
Class 11
MATHS
underset(nrarrinfty)lim (1^2+2^2+3^2+………...

`underset(nrarrinfty)lim (1^2+2^2+3^2+………+n^2)/n^3` is equal to:

A

1

B

`1/2`

C

`1/3`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MODEL PAPER (13)

    JBD PUBLICATION|Exercise EXERCISE|39 Videos

  • MODEL PAPER (15)

    JBD PUBLICATION|Exercise EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

underset(xrarr2)lim (x^3-x^2+1) is equal to:

underset(xrarr0)lim (1-cos2x)/x is equal to:

lim_(n rarr infty) sum_(k=1)^(n) (k)/(n^(2)+k^(2)),x gt 0 is equal to

Evaluate: underset(xrarr1)lim (3x^2-2x-10)/(x^2-4) .

underset(xrarrpi/2)lim (1-sinx)/(cosx) is equal to:

underset(xrarrpi/2)lim (secx-tanx) is equal to:

Let y_(n)(x) = x^(2) + (x^(2))/(1+x^(2))+(x^(2))/((1+x^(2))^(2))+......(x^(2))/((1+x^(2))^(n-1))and y(x) = underset(n rarr oo)(lim) y_(n) (x) . Discuss the continuity of y_(n)(x)(n = 1, 2, 3....n) and y(x) "at x" = 0

Evaluate: underset(xrarra)lim [(x+2)^(3/2)-(a+2)^(3/2)]/(x-a) .

JBD PUBLICATION-MODEL PAPER (14)-EXERCISE
  1. The value of x such that the points (8,1),(x,-4) and (2,-5) are collin...

    Text Solution

    |

  2. The latus rectum of parabola 9x^2-6x+36y+19=0 is:

    Text Solution

    |

  3. underset(nrarrinfty)lim (1^2+2^2+3^2+………+n^2)/n^3 is equal to:

    Text Solution

    |

  4. Two dice are thrown simultaneously. The probability of obtainng a tota...

    Text Solution

    |

  5. Show that:(cos18^@+sin18^@)/(cos18^@-sin18^@)=cot27^@,

    Text Solution

    |

  6. Prove that (cos(90^(@)+theta)sec(-theta)tan(180^(@)-theta))/(sec(360...

    Text Solution

    |

  7. Simplify: 2i^2+6i^3+3i^16-6i^19+4i^25

    Text Solution

    |

  8. Find the constant term in the expansion of [(4x^2)/3-3/2x]^9

    Text Solution

    |

  9. Find the value of (101)^4 using Binomial theorem.

    Text Solution

    |

  10. Find the ratio in which YZ-plane divides the line segment formed by jo...

    Text Solution

    |

  11. Which of the following sentences are statement? Give reason for your a...

    Text Solution

    |

  12. Which of the following sentences are statement? Give reason for your a...

    Text Solution

    |

  13. Are the following pairs of the statement negation of each other The ...

    Text Solution

    |

  14. In a group of 400 people, 250 can speak Hindi and 200 can speak Englis...

    Text Solution

    |

  15. Find the domain and range of the following functions: f(x)=sqrt(16-x^2...

    Text Solution

    |

  16. Solve: sin3x+cos2x=0

    Text Solution

    |

  17. In how many ways can 5 boys and 3 girls sit in a row so that no two gi...

    Text Solution

    |

  18. A bag contains 5 black and 6 red balls. Determine the number of ways i...

    Text Solution

    |

  19. How many terms of the series 24+21+18+………..may be taken so that the su...

    Text Solution

    |

  20. Find three numbers in G.P whose product is 512 and sum is 28.

    Text Solution

    |