Home
Class 11
MATHS
Evaluate: underset(xrarr2)"lim"(x^(2)-4)...

Evaluate: `underset(xrarr2)"lim"(x^(2)-4)/(x^(3)-4x^(2)+4x)`

Text Solution

Verified by Experts

The correct Answer is:
does not exist
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 13 (b)|59 Videos

  • LIMITS AND DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 13 (c)|47 Videos

  • LIMITS AND DERIVATIVES

    MODERN PUBLICATION|Exercise FREQUENTLY ASKED QUESTIONS|43 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • LINEAR INEQUATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarr2)(x^(2)-4)/(x^(3)-4x^(2)+4x)

lim_(xrarr2) (x^(3)-8)/(x^(2)-4)

Evaluate underset( x rarr 2^+ ) ( "lim") ( x-2)/( sqrt( x^(2) -4) +sqrt(x - 2))

lim_(x rarr2)(x^(3)-4x^(2)+4x)/(x^(2)-4)

lim_(x rarr2)(x^(3)-4x^(2)+4x)/(x^(2)-4)

lim_(x rarr2)(x^(3)-4x^(2)+4x)/(x^(2)-4)

lim_(xrarr2) (3x^(2)-x-10)/(x^(2)-4)

Evaluate underset( x rarr oo )("lim") ( sqrt( 3x^(2) - 1) - sqrt( 2x ^(2) - 1))/( 4x + 3)

Evaluate: lim_(xrarr3) (x^(2)-4x+3)/(x^(2)+6x- 27)

Evaluate: lim_( x to 2) (x^(2)-4)/(x^(3)-4x^(2)+4x)

MODERN PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE 13 (a)
  1. Evaluate the following limits, if they exist : lim(x to 3)(x^(2)-4x)...

    Text Solution

    |

  2. Evaluate the following limits, if they exist : lim(x to 2)(x^(3)-4x^...

    Text Solution

    |

  3. Evaluate: underset(xrarr2)"lim"(x^(2)-4)/(x^(3)-4x^(2)+4x)

    Text Solution

    |

  4. Evaluate the following limits, if they exist : lim(x to 3)(x^(3)-4x-...

    Text Solution

    |

  5. Evaluate the following limits, if they exist : lim(x to 0)((x-1)^(2)...

    Text Solution

    |

  6. Evaluate the following limits, if they exist : lim(x to -1)[1+x+x^(2...

    Text Solution

    |

  7. Evaluate the following limits : lim(x to 1)(x-1)/(x+1)

    Text Solution

    |

  8. Evaluate the following limits : lim(x to -2)(1/x+1/2)/(x+2)

    Text Solution

    |

  9. Evaluate following limits : lim( x to -1)(x^(2)-1)/(x+1)

    Text Solution

    |

  10. Evaluate the following limits : lim(x to 1)(x^(3)-1)/(x-1)

    Text Solution

    |

  11. Evaluate the following limits : lim(n to 2)(n^(3)-8)/(n^(2)-4)

    Text Solution

    |

  12. Evaluate the following limits : lim(x to 2)(x^(3)-2x^(2))/(x^(2)-5x+...

    Text Solution

    |

  13. Find the value of the limit given below lim(n to 1/2)(4n^(2)-1)/(2n-1...

    Text Solution

    |

  14. Evaluate the following limits : lim(x to 5)(x^(2)-9x+20)/(x^(2)-6x+5...

    Text Solution

    |

  15. Evaluate the following limits : lim(x to 1)[(x-2)/(x^(2)-x)-1/(x^(3)...

    Text Solution

    |

  16. Evaluate the following limits : lim(x to -1)(x^(3)+1)/(x+1).

    Text Solution

    |

  17. If (lim)(x->-a)(x^9+a^9)/(x+a)9,\ find the real value of adot

    Text Solution

    |

  18. Evaluate the left-hand and right-hand limits of the following function...

    Text Solution

    |

  19. Find 'k' so that : lim(x to 2) f(x) exists, where : f(x)={{:(2x+3"...

    Text Solution

    |

  20. Find 'k' so that : lim(x to 2) f(x) exists, where : f(x)={{:(2x+3"...

    Text Solution

    |