Home
Class 12
MATHS
(4)/(1.3)-(6)/(2.4)+(12)/(5.7)-(14)/(6.8...

`(4)/(1.3)-(6)/(2.4)+(12)/(5.7)-(14)/(6.8)+….=`

A

`log_(e )((2)/(e ))`

B

`log_(e )((e )/(2))`

C

`log_(e)2`

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - II(B) (HOME WORK)|30 Videos

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - I(B) (HOME WORK)|9 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos

  • MATHEMATICAL REASONING

    AAKASH SERIES|Exercise Practice Exercise|21 Videos

Similar Questions

Explore conceptually related problems

(1)/(2.3)+(1)/(4.5)+(1)/(6.7)+……oo=

(1)/(1.2)+(1)/(3.4)+(1)/(5.6)+....

(1)/(2.3)+(1)/(4.5)+(1)/(6.7)+(1)/(8.9)+...

1+(1)/(4)+(1.4)/(4.8)+(1.4.7)/(4.8.12)+….=

1-(3)/(4)+(3.5)/(4.8)-(3.5.7)/(4.8.12)+….=

(1)/(4)-(5)/(4.8)+(5.7)/(4.8.12)-…....=

Sum of the series (1)/(4.5.6)+(1)/(5.6.7)+(1)/(6.7.8)+... upto oo is

(3)/(4.8)+(3.5)/(4.8.12)+(3.5.7)/(4.8.12.16)+….=

AAKASH SERIES-LOGARITHMIC SERIES -EXERCISE - II(A) (CLASS WORK)
  1. 2.4^((-1)/(4))*8^((1)/(9))*16^((-1)/(16))*32^((1)/(25))*64^((-1)/(36))...

    Text Solution

    |

  2. (1)/(1.2)-(1)/(2.3)+(1)/(3.4)-(1)/(4.5)+....=

    Text Solution

    |

  3. (4)/(1.3)-(6)/(2.4)+(12)/(5.7)-(14)/(6.8)+….=

    Text Solution

    |

  4. (1)/(1.3)+(1)/(2.5)+(1)/(3.7)+(1)/(4.9)+...=

    Text Solution

    |

  5. The 3^(rd), 4^(th), 5^(th) terms in the expansion of log(e )2 are resp...

    Text Solution

    |

  6. sum(n=1)^(oo)(1)/(2n(2n+1))=

    Text Solution

    |

  7. -2[(1)/(8)+(1)/(64)+(1)/(384)+…..oo]=

    Text Solution

    |

  8. If |x| lt 1 then coefficient of x^(n) in log(10)(1-x) is

    Text Solution

    |

  9. log(1+x+x^(2)+...oo)=

    Text Solution

    |

  10. (2)/(1).(1)/(3)+(3)/(2).(1)/(9)+(4)/(3).(1)/(27)+(5)/(4).(1)/(81)+…oo=

    Text Solution

    |

  11. (sqrt(2)-1)/(sqrt(2))+(3-2sqrt(2))/(4)+(5sqrt(2)-7)/(6sqrt(2))+……oo=

    Text Solution

    |

  12. Assertion (A) : If x+(x^(2))/(2)+(x^(3))/(3)+………oo=log((7)/(6)) then...

    Text Solution

    |

  13. If f(x)=(1)/(x+1)+(1)/(2(x+1)^(2))+(1)/(3(x+1)^(3))+…(x gt 1) and f(1...

    Text Solution

    |

  14. y=2x^(2)-1, then (1)/(x^(2))+(1)/(2x^(4))+(1)/(3x^(6))+…….oo

    Text Solution

    |

  15. If |a| lt 1, b = sum(k=1)^(oo) (a^(k))/(k) rArr a=

    Text Solution

    |

  16. If xgt0 then (x-1)/(x+1)+(1)/(2)(x^(2)-1)/((x+1)^(2))+(1)/(3)(x^(3)-1)...

    Text Solution

    |

  17. Statement-I : ((x-y)/(x))+(1)/(2)((x-y)/(x))^(2)+(1)/(3)((x-y)/(x))^...

    Text Solution

    |

  18. Statement-I : log(1+x+x^(2)+…)=x+(x^(2))/(2)+(x^(3))/(3)+(x^(4))/(4)...

    Text Solution

    |

  19. Observe the following lists {:("List-I","List-II"),((A) 1-(1)/(2)+(...

    Text Solution

    |

  20. (1)/(4)+(1)/(3)((1)/(4))^(3)+(1)/(5)((1)/(4))^(5)+…..oo=…….

    Text Solution

    |