Home
Class 12
MATHS
If y=(1)/(2x^(2)-1)" then "y+(y^(3))/(3)...

If `y=(1)/(2x^(2)-1)" then "y+(y^(3))/(3)+(y^(5))/(5)+....=`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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

If y = (5x +7)/(2x -3) then y _(2) =

If y=(2x+3)/(4x+5) then find y'' .

If 0 lt y lt 2^(1//3) and x(y^(3)-1)=1 then (2)/(x)+(2)/(3x^(3))+(2)/(5x^(5))+…….oo

If y+(y^(3))/(3)+(y^(5))/(5)+…oo=2[x+(x^(3))/(5)+(x^(5))/(5)+…oo] then

If (1 - y) (1 + 2x + 4x^(2) + 8x^(3) + 16x^(4) + 32x^(5) ) = 1 -y^(6), (y ne 1) , then a value of y/x is

If x ^(3) - 3ax ^(2) + y ^(3) =0 then y ^(5) y _(2) =

The lines (x-1)/(a) = (y-2)/(3) = (z-3)/(4) , (x-2)/(3) = (y-3)/(4) = (z-4)/(5) are coplanar. Then a=

If (5x+6)/((2+x)(1-x))=11/(3(1-x))+y then y =

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

    Text Solution

    |

  2. |a|lt1,b=underset(k=1)overset(oo)Sigma(a^(k))/(k)impliesa=

    Text Solution

    |

  3. If y=(1)/(2x^(2)-1)" then "y+(y^(3))/(3)+(y^(5))/(5)+....=

    Text Solution

    |

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

    Text Solution

    |

  5. (1)/(1.3).(1)/(2)+(1)/(2.4).(1)/(2^(2))+(1)/(3.5).(1)/(2^(3))+....=

    Text Solution

    |

  6. 3x-(5x^(2))/(2)+(9x^(3))/(3)-(17x^(4))/(4)+....+(-1)^(n-1)((2^(n)+1))/...

    Text Solution

    |

  7. 5x-(13)/(2)x^(2)+(35)/(3)x^(3)-(97)/(4)x^(4)+....=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |