Home
Class 12
MATHS
The coefficient of x^(n) in the expansio...

The coefficient of `x^(n)` in the expansion of `(1)/(x^(2)-5x+6)"for"|x|lt1` is

A

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

B

`(1)/(2^(n+2))-(1)/(3^(n+2))`

C

`(1)/(2^(n+1))-(1)/(3^(n+1))`

D

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

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TS EAMCET ENGINEERING ENTRANCE EXAM QUESTION PAPER (2018)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

  • TS EAMCET 2016

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematic|80 Videos

Similar Questions

Explore conceptually related problems

The coefficient of x^9 in the expansion of (1-5x)/(1+x) is

The coefficient of x^(n) in the expansion of (2+3x)(e^(-3x)) is

The coefficient of x^p in the expansion of (x^2+(1)/(x))^(2n) is

The coefficient of x^4 in the expansion of (1+x-2x^2)^7 is

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

The coefficient of x^n in expansion of (1+x) (1-x)^n is

The coefficient of x^(5) in the expansion of (x^(2)+2x+3)^(5) is

Find the coefficient of x^(n) in the expansion of (x-4)/(x^(2)-5x+6) in powers of x specifying the interval in which the expansion is valid.

TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET 2015-MATHEMATICS
  1. If x=1+(3)/(1!)xx(1)/(6)+(3xx7)/(2!)((1)/(6))^(2)+(3xx7xx11)/(3!)((1)/...

    Text Solution

    |

  2. If |x| is so small that x^2 and higher powers of x may be neglected, t...

    Text Solution

    |

  3. The coefficient of x^(n) in the expansion of (1)/(x^(2)-5x+6)"for"|x|l...

    Text Solution

    |

  4. In a Delta ABC, the value of angle A is obtained from the eq...

    Text Solution

    |

  5. Match the differential equations in List I to their integrating facto...

    Text Solution

    |

  6. The solution of the differential equation xy' = 2xe^(-y//x) + y is

    Text Solution

    |

  7. The differential equation of the family of curve y = ax + (1)/(a), whe...

    Text Solution

    |

  8. The area of the region bounded by the curves y=9x^(2)andy=5x^(2)+4 (in...

    Text Solution

    |

  9. int(0)^(pi//2) (16sin x. cos x)/(sin^(4) x + cos^(4)x)dx=

    Text Solution

    |

  10. int(0)^(1)sqrt((1-x)/(1+x))dx

    Text Solution

    |

  11. int(x+5)/(x^(2)+4x+5)dx=alog(x^(2)+4x+5)+btan^(-1)(x+k)+C, then (a,b,k...

    Text Solution

    |

  12. Evaluate intsqrt(e^(x)-4)dx

    Text Solution

    |

  13. If inte^(-x)tan^(-1)(e^(x))dx

    Text Solution

    |

  14. If intsqrt((2+x)/(2-x))dx is equal to

    Text Solution

    |

  15. Two particles P and Q located at the points with coordinates P(t,t^(3...

    Text Solution

    |

  16. If f(x)={{:(x,olexle1),(2-x,1lexle2'):} then Rolle's theorem is not ap...

    Text Solution

    |

  17. An equilateral triangle is of side 10 units. In measuring the side, if...

    Text Solution

    |

  18. If the line y = - 4x + b is tangent to the curve y = (1)/(x), then b e...

    Text Solution

    |

  19. If x^(2) + y^(2) = t + (2)/(t) and x^(4) + y^(4) = t^(2) + (4)/(t^(2))...

    Text Solution

    |

  20. If y = tan^(-1)((3x-x^(3))/(1-3x^(2))) + tan^(-1) ((4x-4x^(3))/(1-6x^(...

    Text Solution

    |