Home
Class 12
MATHS
(1)/(1.3).(1)/(2)+(1)/(2.4).(1)/(2^(2))+...

`(1)/(1.3).(1)/(2)+(1)/(2.4).(1)/(2^(2))+(1)/(3.5).(1)/(2^(3))+....=`

A

`(5)/(4)+(3)/(2)log.(1)/(2)`

B

`(4)/(4)+(3)/(2)log2`

C

`(4)/(5)+(3)/(2)log2`

D

`(4)/(5)+(2)/(3)log((1)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
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)/(2)-(1)/(2).(1)/(2^(2))+(1)/(3).(1)/(2^(3))-(1)/(4).(1)/(2^(4))+.... =

A : (1)/(2)-(1)/(2).(1)/(2^(2))+(1)/(3).(1)/(2^(3))-(1)/(4).(1)/(2^(4))+....=log_(e)((3)/(2)) R : log_(e)(1+x)=x-(x^(2))/(2)+(x^(3))/(3)-(x^(4))/(4)+...

(1)/(2x-1)+(1)/(3).(1)/((2x-1)^(3))+(1)/(5)(1)/((2x-1)^(5))+....=

(1)/(2x+1)+(1)/(3)(1)/((2x+1)^(3))+(1)/(5)(1)/((2x+1)^(5))+....=

2[((1)/(2))+(1)/(3)((1)/(2))^(3)+(1)/(5)((1)/(2))^(5)+...]=

(1)/(2)-(1)/(3(1!))+(1)/(4(2!))-(1)/(5(3!))+....=

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

1+(1)/(3.2^(2))+(1)/(5.2^(4))+(1)/(7.2^(6))+....=

3log 2 +(1)/(4) -(1)/(2)((1)/(4))^(2)+(1)/(3)((1)/(4))^(3)-….. =

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

DIPTI PUBLICATION ( AP EAMET)-EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)-EXERCISE 1B
  1. If y=(1)/(2x^(2)-1)" then "y+(y^(3))/(3)+(y^(5))/(5)+....=

    Text Solution

    |

  2. (1)/(x^(2))+(1)/(2x^(4))+(1)/(3x^(6))+....=

    Text Solution

    |

  3. (1)/(1.3).(1)/(2)+(1)/(2.4).(1)/(2^(2))+(1)/(3.5).(1)/(2^(3))+....=

    Text Solution

    |

  4. 3x-(5x^(2))/(2)+(9x^(3))/(3)-(17x^(4))/(4)+....+(-1)^(n-1)((2^(n)+1))/...

    Text Solution

    |

  5. 5x-(13)/(2)x^(2)+(35)/(3)x^(3)-(97)/(4)x^(4)+....=

    Text Solution

    |

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

    Text Solution

    |

  7. The coefficient of x^(n) in the expansion of log (1-5x+6x)^(2) is

    Text Solution

    |

  8. If n=3m then the coefficient of x^(n) in the expansion of log(1+x+x^(2...

    Text Solution

    |

  9. If n=3m then the coefficient of x^(n) in the expansion of log(1+x+x^(2...

    Text Solution

    |

  10. The expansion of log.(1+x+x^(2))/(1-x+x^(2)) as ascending powers of x ...

    Text Solution

    |

  11. If |x|lt1, the coefficient of x^(3) in the expansion of log(1+x+x^(2))...

    Text Solution

    |

  12. If x is very small and neglecting x^(3) and higher powers of x then th...

    Text Solution

    |

  13. (x)/(1.2)+(x^(2))/(3.4)+(x^(3))/(5.6)+....=

    Text Solution

    |

  14. underset(n=1)overset(oo)sum(x^(n))/(n+2)=

    Text Solution

    |

  15. underset(n=1)overset(oo)sum(x^(n+1//2))/(n+1)=

    Text Solution

    |

  16. sin^(2)theta+(1)/(2)sin^(4)theta+(1)/(3)sin^(6)theta+....=

    Text Solution

    |

  17. cos^(2)theta+(1)/(2)cos^(4)theta+(1)/(3)cos^(6)theta+....=

    Text Solution

    |

  18. tan^(2)theta-(1)/(2)tan^(4)theta+(1)/(3)tan^(6)theta-(1)/(4)tan^(8)the...

    Text Solution

    |

  19. costheta+(1)/(3)cos^(3)theta+(1)/(5)cos^(5)theta+....=

    Text Solution

    |

  20. sin2theta+(1)/(3)sin^(3)2theta+(1)/(5)sin^(5)2theta+....=

    Text Solution

    |