Home
Class 12
MATHS
lim(x rarr 1) (x^(2)-1)/(|x-1|) =...

`lim_(x rarr 1) (x^(2)-1)/(|x-1|) =`

A

2

B

(-2)

C

`oo`

D

does not exist

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos
  • LINEAR INEQUALITIES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|54 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarr 1) (x^(18)-1)/(x^(6)-1) =

If G(x) = -sqrt(25-x^(2)) the lim_(x rarr 1) (G(x)-G(1))/(x-1) =

If g(x) = -sqrt(25-x^(2)) the lim_(x rarr 1) (g(x)-g(1))/(x-1) =

lim_(x rarr -1) (x^(9)+1)/(x^(14)-1)=

The value of constants a and b, so that : lim_(x rarr oo) [(x^(2) + 1)/(x+1) - ax - b] = 0 , is :

lim_(x rarr 0) ((1+x)^(n)-1)/x is

The value of lim_(x rarr 0) ((e^(x)-1)/x)

HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. lim(n rarr oo) 1/n^(3) { 1+3+6+...+ (n(n+1))/2} =

    Text Solution

    |

  2. If S(n) = (1)/(1.4)+(1)/(4.7) + (1)/(7.10) +……. to n terms, then lim(n...

    Text Solution

    |

  3. lim(x rarr 1) (x^(2)-1)/(|x-1|) =

    Text Solution

    |

  4. If f(x) = {(1/(1+e^(1/x)), x ne 0),(0, x= 0):} then f(x) is

    Text Solution

    |

  5. The right hand and left hand limit of the function f(x)={{:((e^(1//x)-...

    Text Solution

    |

  6. Let f(x) = {(x", if x is irrational"),(0", if x is ratinal"):} then f ...

    Text Solution

    |

  7. f(x) = (x^(3)+x^(2)-16x+20)/(x-2)^2, x ne 2. The value which should be...

    Text Solution

    |

  8. Let f(x) = (tan ((pi)/(4) - x))/(cot 2 x), x ne pi//4, the value which...

    Text Solution

    |

  9. For what value the function f(x) = (3x+4tanx)/x at x = 0 is continuous

    Text Solution

    |

  10. If f(x) = x . (sin)1/x, x ne 0, then the value of the function at x = ...

    Text Solution

    |

  11. The function f(x)=|x|+(|x|)/(x) is

    Text Solution

    |

  12. Consider f(x)={{:((x^(2))/(|x|)","x!=0),(0","x=0.):}

    Text Solution

    |

  13. The value of f(2) so that f(x) = (2^(x+2)-16)/(4^(x)-16) is continuous...

    Text Solution

    |

  14. If f(x) = {((|x-1|)/(x-1), x ne 1), (0, x = 1):} then the correct stat...

    Text Solution

    |

  15. The function y = 3sqrtx-|x-1| is continuous at

    Text Solution

    |

  16. Let f(x) = (sqrt(1 + sin x)-sqrt(1-sin x))/(x)lim The value, which sho...

    Text Solution

    |

  17. To make f(x)=(x+1)^(cotx) continuous at x=0,f(0) must defined as

    Text Solution

    |

  18. if f(x) = 1/(1-x) (x ne 1), {f[f(x)]} is

    Text Solution

    |

  19. The value of b for which the function : f(x) = {{:(5x-4,"if",0lt x le ...

    Text Solution

    |

  20. If f : R rarr R is defined by f(x) = {((x+2)/(x^(2)+3x+2), x in R-{-1,...

    Text Solution

    |