Home
Class 12
MATHS
(1)/(2.3)+(1)/(4.5)+(1)/(6.7)+(1)/(8.9)+...

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

A

`log((2)/(e))`

B

`log((e)/(2))`

C

`log(2e)`

D

`e-1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 1|6 Videos

  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 2|5 Videos

  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|93 Videos

  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 2|1 Videos

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos

Similar Questions

Explore conceptually related problems

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

(1)/(2.3)+(1)/(4.5)+(1)/(6.7)+……oo=

(1)/(1.2.3)+(1)/(3.4.5)+(1)/(5.6.7)+....

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

1+(1)/(2). (3)/(5) + (1.3)/(2.4) . (9)/(25)+(1.3.5)/(2.4.6).(27)/(125)+…...oo=

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

The sum of the series (1)/(1.3.5)+(1)/(3.5.7)+(1)/(5.7.9)+... is

(5)/(1.2.3)+(7)/(3.4.5)+(9)/(5.6.7)+....=

If (1)/(1!9!)+(1)/(3!7!)+(1)/(5!5!)+(1)/(7!3!)+(1)/(9!1!)=(2^n)/(10!) , then n=

DIPTI PUBLICATION ( AP EAMET)-EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)-EXERCISE 1B
  1. log(e)2=

    Text Solution

    |

  2. (1)/(1.2)+(1)/(3.4)+(1)/(5.6)+....

    Text Solution

    |

  3. (1)/(2.3)+(1)/(4.5)+(1)/(6.7)+(1)/(8.9)+...

    Text Solution

    |

  4. (1)/(1.2)-(1)/(2.3)+(1)/(3.4)-(1)/(4.5)+....=

    Text Solution

    |

  5. (1)/(1.3)+(1)/(2.5)+(1)/(3.7)+(1)/(4.9)+...=

    Text Solution

    |

  6. (1)/(1.2.3)+(1)/(3.4.5)+(1)/(5.6.7)+....

    Text Solution

    |

  7. (5)/(1.2.3)+(7)/(3.4.5)+(9)/(5.6.7)+....=

    Text Solution

    |

  8. The sum of the series (1)/(1.3.5)+(1)/(3.5.7)+(1)/(5.7.9)+... is

    Text Solution

    |

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

    Text Solution

    |

  10. (1)/(1.3)+(1)/(2)((1)/(3.5))+(1)/(3)((1)/(5.7))+....=

    Text Solution

    |

  11. (2)/(3)+(1)/(2)((2)/(3))^(2)+(1)/(3)((2)/(3))^(3)+....=

    Text Solution

    |

  12. (1)/(5)+(1)/(2.5^(2))+(1)/(3.5^(3))+(1)/(4.5^(4))+.......=

    Text Solution

    |

  13. The sum of the series (1)/(2)((1)/(5))^(2)+(2)/(3)((1)/(5))^(3)+(3)/(4...

    Text Solution

    |

  14. (1)/(2)-(1)/(2).(1)/(2^(2))+(1)/(3).(1)/(2^(3))-(1)/(4).(1)/(2^(4))+.....

    Text Solution

    |

  15. (1)/(2)+(3)/(2).(1)/(4)+(5)/(3).(1)/(8)+(7)/(4).(1)/(16)+....=

    Text Solution

    |

  16. Sum of the series (1)/(2)((1)/(2)+(1)/(3))-(1)/(4)((1)/(2^(2))+(1)/(3^...

    Text Solution

    |

  17. (a-b)/(a)+(1)/(2)((a-b)/(a))^(2)+(1)/(3)((a-b)/a)^(3)+....=

    Text Solution

    |

  18. (a-1)-(1)/(2)(a-1)^(2)+(1)/(3)(a-1)^(3)-(1)/(4)(a-1)^(4)+...=

    Text Solution

    |

  19. e^(x-1-(1)/(2)(x-1)^(2)+(1)/(3)(x-1)^(3)-(1)/(4)(x-1)^(4))+...=

    Text Solution

    |

  20. If S=((b-1)-(1)/(2)(b-1)^(2)+(1)/(3)(b-1)^(3)-....)/((a-1)-(1)/(2)(a-1...

    Text Solution

    |