Home
Class 12
MATHS
(1)/(1.3) + (1)/(2.5) + (1)/(3.7) + (1)/...

`(1)/(1.3) + (1)/(2.5) + (1)/(3.7) + (1)/(4.9) +...` is equal to

A

`2-log 2 `

B

`1 + log 2`

C

`3-log"" (1)/(2)`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • EXPONENTIAL AND LOGARITHMIC SERIES

    ML KHANNA|Exercise Problem Set (2) (TRUE AND FALSE)|7 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    ML KHANNA|Exercise Problem Set (2) (Self Assessment Test)|8 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS )|5 Videos

  • EXAMINATION PAPER-2014 (IIT-JEE-MAIN)

    ML KHANNA|Exercise Multiple Choice Question |30 Videos

  • FUNCTIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |10 Videos

Similar Questions

Explore conceptually related problems

(1)/(2*3)+(1)/(4*5)+(1)/(6*7)+(1)/(8*9)+......... is equal to

(1)/(3.5)+(1)/(5.7)+(1)/(7.9)+…….. up to n terms is equal to

ML KHANNA-EXPONENTIAL AND LOGARITHMIC SERIES -Problem Set (2) (MULTIPLE CHOICE QUESTIONS )
  1. If S = (1)/(1.2) - (1)/(2.3) + (1)/(3.4) -(1)/(4.5) +...oo

    Text Solution

    |

  2. The sum of the series (1)/(2.3) + (1)/(4.5) + (1)/(6.7) + ...oo=

    Text Solution

    |

  3. (1)/(1.3) + (1)/(2.5) + (1)/(3.7) + (1)/(4.9) +... is equal to

    Text Solution

    |

  4. 1 + (2)/(1.2.3) + (2)/(3.4.5) + (2)/(5.6.7) + ... =

    Text Solution

    |

  5. 1 /(1.3.5) + (1)/(3.5.7) + (1)/(5.7.9) +...oo

    Text Solution

    |

  6. Sum of the series 1/(1*2*3)+5/(3*4*5)+9/(5*6*7 )+... is equal to

    Text Solution

    |

  7. Sum of n terms of the series 1/(1.2.3.4.)+1/(2.3.4.5) +1/(3.4.5.6)+.....

    Text Solution

    |

  8. If y+(y^(3))/(3)+(Y^(5))/(5)+…infty=2(x+(x^(3))/(3)+(x^(5))/(5)+..inft...

    Text Solution

    |

  9. The coefficient of x^(n) in the exansion of log(e)(1+3x+2x^(2)) is

    Text Solution

    |

  10. The value of log 2+2 (1/5+1/3.(1)/(5^(3))+1/5.(1)/(5^(5))+..+infty) is

    Text Solution

    |

  11. 2[(1)/(2x + 1) + (1)/(3(2x + 1)^(3)) + (1)/(5(2x + 1)^(5)) + (1)/(5(2x...

    Text Solution

    |

  12. 2{(m-n)/(m+n)+1/3((m-n)/(m+n))^(3)+1/5((m-n)/(m+n))^(5)+..} is equals ...

    Text Solution

    |

  13. The sum of the series 1 + ((1)/(2) + (1)/(3)) (1)/(4) + ((1)/(4) + ...

    Text Solution

    |

  14. The series expansion of log{(1+x)^(1+x)(1-x)^(1-x)} is

    Text Solution

    |

  15. The coefficient of x^(6) in the expansion of log{(1+x)^(1+x)(1-x)^(...

    Text Solution

    |

  16. 2log x-log(x+1)-log(x-1) is equals to

    Text Solution

    |

  17. The coefficient of x^(n), where n = 3k in the expansion of log (1 + x ...

    Text Solution

    |

  18. The coefficient of x^(n) in the expansion of log(e)((1)/(1+x+x^(2)+x^(...

    Text Solution

    |

  19. If log(1-x+x^(2))=a(1)x+a(2)x^(2)+a(3)x^(3)+… then a(3)+a(6)+a(9)+.....

    Text Solution

    |

  20. The coefficient of n^(-r) in the expansion of log(10)((n)/(n-1)) is

    Text Solution

    |