Home
Class 12
MATHS
If S(n) = (1)/(1.4)+(1)/(4.7) + (1)/(7.1...

If `S_(n) = (1)/(1.4)+(1)/(4.7) + (1)/(7.10) +…….` to n terms, then `lim_(n rarr oo) S_(n)` equals :

A

`(2 n)/(3 n+5)`

B

`(n)/(3 n+1)`

C

`(3 n)/(4 n+8)`

D

`(n)/(n+3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|32 Videos
  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

Similar Questions

Explore conceptually related problems

If S_(n)=(1)/(6.11)+(1)/(11.16)+(1)/(16.21)+ ….. to n terms, then 6S_(n) equals

(1)/(1 . 4 . 7)+(1)/(4 .7 . 10)+(1)/(7 . 10 . 13)+.. . to n terms =

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

lim_(x rarr oo) (1+2/n)^(2n)=

lim_(n rarr oo) (sin n theta)/(sqrt n) =

lim_(n rarr oo) (nsqrt(n^(2)+1)-n) =

lim_(n rarr oo) n(sqrt(n^(2)+8)-n) =

lim_(n rarr oo) n(sqrt(n^(2)+6)-n) =

HIMALAYA PUBLICATION-MATHEMATICAL INDUCTION AND SUMMATION OF SERIES-Question Bank
  1. Sum to n terms of the series (1)/(2 . 5) +(1)/(5 . 8)+(1)/(8 . 11)+..=

    Text Solution

    |

  2. (1)/(1 . 3)+(1)/(3 . 5)+(1) /(5 . 7)+.. to n terms =

    Text Solution

    |

  3. If S(n) = (1)/(1.4)+(1)/(4.7) + (1)/(7.10) +……. to n terms, then lim(n...

    Text Solution

    |

  4. (1)/(1 . 4 . 7)+(1)/(4 .7 . 10)+(1)/(7 . 10 . 13)+.. . to n terms =

    Text Solution

    |

  5. Sum of the n terms of the series 1 . 2^(2)+2 . 3^(2)+3 . 4^(2)+..

    Text Solution

    |

  6. If t(n) denotes the nth term of the series : 2+3+6+11+18+"………." , th...

    Text Solution

    |

  7. Sum to n terms of the series1+3+7+13+.. .=

    Text Solution

    |

  8. Sum to n terms of the series3+15+35+63+.. ..

    Text Solution

    |

  9. The n^(th ) term of the series 1+5+12+22+35+.. ..

    Text Solution

    |

  10. Sum to n terms of the series2+6+12+20+.. is,

    Text Solution

    |

  11. Sum of n terms of the series 1+2 x+3 x^(2)+4 x^(3)+..,(x ne 1) is

    Text Solution

    |

  12. Sum of 25 terms of the series 1+(2)/(2)+(3)/(2^(2))+(4)/(2^(3))+.. ....

    Text Solution

    |

  13. Sum of 25 terms of the series 1+2 . 2+3 . 2^(2)+4 . 2^(3)+5 . 2^(4)+...

    Text Solution

    |

  14. The n^(th ) term of the series 1+4+13+40+.. .is

    Text Solution

    |

  15. 3+5+7+ …..to n^(th) term is

    Text Solution

    |

  16. The n^(th ) term of the series4+13+28+49+.. . Is

    Text Solution

    |

  17. The sum 1^(2)+1+2^(2)+2+3^(2)+3+..+n^(2)+n is

    Text Solution

    |

  18. Find the sum to n terms of the series 1^(2)+(1^(2)+2^(2))+(1^(2)+2^(2)...

    Text Solution

    |

  19. sum(n=1)^(n) (1)/((4 n-1)(4 / t+3))=

    Text Solution

    |

  20. If 1+x^(2)=sqrt(3)x, then sum(n=1)^(24)(x^(n)-(1)/(x^(n)))^(2) equals

    Text Solution

    |