Home
Class 12
MATHS
(x^(3))/((2x-1)(x-1)^(2))...

`(x^(3))/((2x-1)(x-1)^(2))`

Text Solution

Verified by Experts

The correct Answer is:
`1/2 + (1)/(2(2x-1))+(1)/((x-1))+(1)/((x-1)^(2))`
Promotional Banner

Topper's Solved these Questions

  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|17 Videos
  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise EXERCISE - I|5 Videos
  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos
  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE -3.2 III.|5 Videos
  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|163 Videos

Similar Questions

Explore conceptually related problems

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

x^(3)/((2x-1)(x+2)(x-3))=A+B/(2x-1)+C/(x+2)+D/(x-3) rArr A =

The value of underset(x to 1)(Lt) ((x^(3)+2x^(2)+x+1)/(x^(2)+2x+3))^((1-cso(x-1))/(x-1)^(2))

underset(x to 1//2)lim {(8x-3)/(2x-1)-(4x^(2)+1)/(4x^(2)-1)}=

Lt_(x to oo)((8x-3)/(2x-1)-(4x^(2)+1)/(4x^(2)-1))=

(x^(2)+x+1)/((x-1)(x-2)(x-3))=A/(x-1)+B/(x-2)+C/(x-3) rArr A+C=

Lim_(x to oo)(x^(3)sin((1)/(x))-2x^(2))/(1+3x^(2))=

underset(x to oo)"Lt" ((x^(2)+2x-1)/(2x^(2)-3x-2))^((2x+1)/(2x-1))=

AAKASH SERIES-PARTIAL FRACTIONS-EXERCISE - 4 ( SHORT ANSWER QUESTIONS)
  1. Resolve the following into partial fractions. (2x^(2)+3x+4)/((x-1)(x...

    Text Solution

    |

  2. Resolve (x^(3)+x^(2)+1)/((x^(2)+2)(x^(2)+3)) into partial fractions.

    Text Solution

    |

  3. Resolve the following into partial fractions. (2x-1)/((1-x-x^(2))(x+...

    Text Solution

    |

  4. Resolve into Partial Fractions (vi) (5x^(2)+2)/(x^(3)+x)

    Text Solution

    |

  5. Resolve the following into partial fractions. (x^(3) + x^(2)+1)/ ((x...

    Text Solution

    |

  6. Resolve into Partial Fractions (i) (x^(3))/((x^(2)+1)^(2))

    Text Solution

    |

  7. Resolve the following into partial fractions. (x^(2)+1)/((x^(2)+x+1)...

    Text Solution

    |

  8. Resolve (x^(4)+24x^(2)+28)/((x^(2)+1)^(3)) into Partial fractions.

    Text Solution

    |

  9. Resolve into Partial Fractions (iv) (x+3)/((1-x)^(2)(1+x^(2)))

    Text Solution

    |

  10. Resolve the following into partial fractions. (x^(2))/ ((x-1)(x-2))

    Text Solution

    |

  11. Resolve into Partial Fractions (ii) (x^(3))/((2x-1)(x+2)(x-3))

    Text Solution

    |

  12. Resolve the following into partial fractions. (x^(3))/((x-1)(x+2))

    Text Solution

    |

  13. Resolve into Partial Fractions (iv) (x^(4))/((x-1)(x-2))

    Text Solution

    |

  14. Resolve into Partial Fractions (v) (2x^(3)+3)/(x^(2)-5x+6)

    Text Solution

    |

  15. (x^(3))/((2x-1)(x-1)^(2))

    Text Solution

    |

  16. Find the coefficient of x^(4) in the expansion of (3x)/((x-2)(x+1)) in...

    Text Solution

    |

  17. (ii) Find the coefficient of x^(n) in the expansion of (x)/((x-1)^(2)(...

    Text Solution

    |

  18. Find is the coefficient of x^(4) in the power series expansion of (3x^...

    Text Solution

    |

  19. (iv) Find the coefficient of x^(2) in the powers of x specifying the i...

    Text Solution

    |

  20. Find the number of partial fractions of (x+2)/(x^(2)(x^(2)-1))

    Text Solution

    |