Home
Class 12
MATHS
Lim(n rarr oo)[(1)/(1-n^(2))+(2)/(1-n^(2...

`Lim_(n rarr oo)[(1)/(1-n^(2))+(2)/(1-n^(2))+.....+(n)/(1-n^(2))]` is equal to-

A

0

B

2

C

`1+ e^(-1)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ML KHANNA|Exercise Problem Set (6) Fill in the blanks|1 Videos

  • DEFINITE INTEGRAL

    ML KHANNA|Exercise Miscellaneous Questions (Assertion/Reason)|1 Videos

  • DEFINITE INTEGRAL

    ML KHANNA|Exercise Problem Set (5) Fill in the blanks|4 Videos

  • CORRELATION AND REGRESSION

    ML KHANNA|Exercise SELF ASSESSMENT TEST |10 Videos

  • DETERMINANTS

    ML KHANNA|Exercise Self Assessment Test |19 Videos

Similar Questions

Explore conceptually related problems

lim_(n rarr oo)[(1)/(n^(2))+(2)/(n^(2))+....+(n)/(n^(2))]

lim_(n rarr oo)(1-(2)/(n))^(n)

lim_(n rarr oo)((1)/(n^(2))+(2)/(n^(2))+(3)/(n^(2))+...+(n)/(n^(2)))

lim_(n rarr oo)(e^(2n)(n!)^(2))/(2n^(2n+1))

lim_(n rarr oo) (1^2/(1-n^3)+2^2/(1-n^3)+...+n^2/(1-n^3))=

lim_(n rarr oo)[(1)/(n)+(1)/(n+1)+(1)/(n+2)+.....+(1)/(2n)]

lim_ (n rarr oo n rarr equal to) [(1) / (1-n ^ (2)) + (2) / (1-n ^ (2)) + ...... + (n) / (1-n ^ (2))]

lim_(n rarr oo)(2^(n)+3^(n))^(1/n)

lim_(n rarr oo)(1^(2)+2^(2)+3^(2)+.........+n^(2))/(n^(3)) is equal to -

lim_(n rarr oo)(n^(2))/(1+2+3+...+n)

ML KHANNA-DEFINITE INTEGRAL-Problem Set (6) Multiple choice Questions
  1. lim(n to oo)((1)/(1+n^(3))+(4)/(8+n^(3))+....+(r^(2))/(r^(3)+n^(3))+.....

    Text Solution

    |

  2. underset(n to oo)"lim"underset(r=1)overset(n)sum((r^(3))/(r^(4) + n^(4...

    Text Solution

    |

  3. underset(nrarroo)lim[(1)/(n)+(n^(2))/((n+1)^(3))+(n^(2))/((n+2)^(3))+....

    Text Solution

    |

  4. v20.1

    Text Solution

    |

  5. Evaluate: (lim)(nvecoo)([(n+1)(n+2)(n+n)^(1/n))/n

    Text Solution

    |

  6. The value of lim(n rarr oo) [((2n)!)/(n!n^(n))]^(1//n) is equal to

    Text Solution

    |

  7. Lim(n rarr oo)[(1)/(1-n^(2))+(2)/(1-n^(2))+.....+(n)/(1-n^(2))] is equ...

    Text Solution

    |

  8. lim(n rarr oo) (1)/(n) ["tan"(pi)/(4n) + "tan"(2pi)/(4n) + …+ "tan"(n ...

    Text Solution

    |

  9. The value of lim(nrarroo)(1)/(n)[sec^(2)""(pi)/(4n)+sec^(2)""(2pi)/(4n...

    Text Solution

    |

  10. Evaluate: ("lim")(nvecoo)[1/(n^2)sec^2 1/(n^2)+2//n^2sec^2 4/(n^2)++1/...

    Text Solution

    |

  11. lim(n rarr oo) (1^(99) + 2^(99) + …+ n^(99))/(n^(100))=

    Text Solution

    |

  12. Lt(nrarroo) (1+2^4+3^4+ … +n^4)/n^5-Lt(nrarroo) (1+2^3+3^3 + … +n^3)/n...

    Text Solution

    |

  13. Lt(nrarroo) (1+2^4+3^4+ … +n^4)/n^5-Lt(nrarroo) (1+2^3+3^3 + … +n^3)/n...

    Text Solution

    |

  14. Lt(n rarr oo) (2^(k) + 4^(k) + 6^(k) + …+ (2n)^(k))/(n^(k+1)) , k ne -...

    Text Solution

    |

  15. underset(n to oo)lim(1)/(2)" " underset(r=+1)overset(2n)sum (r)/(s...

    Text Solution

    |

  16. Lt(n rarr oo) Sigma(r=1)^(n-1) (pi)/(n) sin ((r pi)/(n))=

    Text Solution

    |

  17. underset(n to oo)lim underset(r=1)overset(n)sum(1)/(n)e^(r//n) is

    Text Solution

    |

  18. Lt(n rarr oo) [(1)/(n^(2)) sin ((1+ n^(2))/(n^(2))) + (2)/(n^(2)) sin ...

    Text Solution

    |

  19. Given that lim(nto oo) sum(r=1)^(n) (log (r+n)-log n)/(n)=2(log 2-(1...

    Text Solution

    |

  20. Let S(n)=underset(k=1)overset(n)sum (n)/(n^(2)+nk+k^(2)) and T(n)=unde...

    Text Solution

    |