Home
Class 11
MATHS
Evaluate the following limit : lim(x r...

Evaluate the following limit :
`lim_(x rarr 1)[(x-2)/(x^2-x) -1/(x^3-3x^2+2x)]` .

Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|334 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|86 Videos

  • LINEAR INEQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE|289 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following limit : lim_(x rarr 2) (x^3-8)/(x^2-4) .

Evaluate the following limit : lim_(x rarr 1) (x^3-1)/ (x-1) .

Evaluate the following limit : lim_(x rarr 0) (2^x-1)/x .

Evaluate the following limits:- lim_(x rarr3)x+3

Evaluate the following limit : lim_(x rarr 1)(x-1)/(logx) .

Evaluate the following limit : lim_(x rarr 1)(logx)/(x-1) .

Evaluate the following limit : lim_(x rarr 2)[1/(x-2)- (2(2x -3))/(x^3-3x^2+2x)] .

Evaluate the following limit : lim_(x rarr -oo)2^x .

Evaluate the following limit : lim_(x rarr 2) (e^x-e^2)/(x-2) .

Evaluate the following limit : lim_(x rarr 1)(1/(x^2+x-2)-x/(x^3-1)) .

MODERN PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE
  1. Evaluate the following limit : lim(x rarr 2) (3x^2-x-10)/ (x^2-4).

    Text Solution

    |

  2. Evaluate the following limit : lim(x rarr 5)(x^2-9x+20)/ (x^2-6x+5) ...

    Text Solution

    |

  3. Evaluate the following limit : lim(x rarr 1)[(x-2)/(x^2-x) -1/(x^3-3...

    Text Solution

    |

  4. Evaluate the following limit : lim(x rarr -1) (x^3+1)/ (x+1) .

    Text Solution

    |

  5. Evaluate the following limit : lim(x rarr 3)(x^4-81)/ (2x^2-5x-3).

    Text Solution

    |

  6. If lim(x rarr a)(x^9+a^9)/(x+a)=9, find the real value of a.

    Text Solution

    |

  7. Evaluate the left-hand and right-hand limits of the a following functi...

    Text Solution

    |

  8. Find k so that : lim(x rarr 2)f(x) exists, where : f(x)={(2x+3,"," i...

    Text Solution

    |

  9. Find k so that : lim(x rarr 2)f(x) exists, where : f(x)={(2x+3,"," i...

    Text Solution

    |

  10. Find k so that : lim(x rarr 2)f(x) exists, where : f(x)={(2x+3,"," i...

    Text Solution

    |

  11. Evaluate the following limit : lim(x rarr 1) (x^15-1)/ (x^10-1) .

    Text Solution

    |

  12. Evaluate the following limit : lim(x rarr 0) ((x+1)^5-1)/(x) .

    Text Solution

    |

  13. Prove that lim(x rarr 0) ((1+x)^n-1)/(x)=n .

    Text Solution

    |

  14. If lim(x rarr 2) (x^n-2^n)/(x-2)=80 and if n is a positive integer, fi...

    Text Solution

    |

  15. Evaluate the following limit : lim(x rarr 3)(x^3-7x^2+15x -9)/(x^4-5...

    Text Solution

    |

  16. Evaluate the following limit : lim(x to sqrt(2)) (x^(9) - 3x^(8) + x...

    Text Solution

    |

  17. Evaluate the following limit : lim(x rarr 0) (sqrt(1+x)-sqrt(1-x))/(...

    Text Solution

    |

  18. Evaluate the following limit : lim(x rarr 0) (sqrt(1+x)-sqrt(1-x))/(...

    Text Solution

    |

  19. Evaluate the following limit : lim(x rarr 0) (sqrt(2-x)-sqrt(2+x))/(...

    Text Solution

    |

  20. Evaluate the following limit : lim(x rarr 0) (sqrt(1+3x)-sqrt(1-3x))...

    Text Solution

    |