Home
Class 12
MATHS
lim(x rarr 1) ((sqrt(x) - 1) (2x - 3))/(...

`lim_(x rarr 1) ((sqrt(x) - 1) (2x - 3))/(2x^(2) + x - 3)` is :

A

(1/10)

B

(-1/10)

C

1

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
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 0) (sqrt(1+x)-1)/x =

lim_(x rarr 0) x/(sqrt(x+4)-2) =

lim_(x rarr 1) (sqrt(1 - cos 2 (x - 1)))/(x -1) :

lim_(x rarr 2) ((sqrt(1-cos {2(x - 2)}))/(x-2)) :

lim_(x rarr 1) (sqrt(x-1) + sqrt(x-1))/(sqrt(x^(2)-1)) =

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

lim_(x rarr 0) (sqrt(1+x) - sqrt(1-x)/x =

lim_(x rarr 1) (1-x) tan (pi/2 x) =

lim_(x rarr oo) ((2x - 3) (3x - 4))/((4x - 5) (5x - 6)) equals :

HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. lim(x rarr 0) (sin x)/(sqrt(x + 1) - sqrt(1-x)) is :

    Text Solution

    |

  2. lim(x rarr pi/4) (sec^(2)x-2)/(tan x -1) is

    Text Solution

    |

  3. lim(x rarr 1) ((sqrt(x) - 1) (2x - 3))/(2x^(2) + x - 3) is :

    Text Solution

    |

  4. If f(x) = [((sin [x])/([x]), [x] ne 0),(0, [x] = 0)], then lim(x rarr ...

    Text Solution

    |

  5. lim(x rarr 0) (|sin x|)/x is

    Text Solution

    |

  6. Let f(x) = {{:(x^(2) - 1, 0 lt x lt 2),(2x + 3, 2 le x lt 3):}, the qu...

    Text Solution

    |

  7. lim(x rarr 0) (tan 2x - x)/(3x - sin x), is :

    Text Solution

    |

  8. The function f(x) {((sin x)/x + cos x, x ne 0), (k, x = 0):} is contin...

    Text Solution

    |

  9. The function f(x)= [x], where [x] denotes greatest integer function is...

    Text Solution

    |

  10. The number of points at which the function f(x) = (1)/(x - [x]) is :

    Text Solution

    |

  11. Prove that the function defined by f(x)= tan x is a continuous functio...

    Text Solution

    |

  12. Let f(x) = |sin x|. Then

    Text Solution

    |

  13. The function f(x) = |x| + |x-1| is

    Text Solution

    |

  14. The value of k which makes the function defined by : f(x) = {{:("sin...

    Text Solution

    |

  15. If f(x) = 2x and g(x) = x^(2)/2 +1, then which of the following can be...

    Text Solution

    |

  16. The function f(x) = (4-x^(2))/(4x-x^(2)) is

    Text Solution

    |

  17. The function f(x) = cot x discontinuous on the set

    Text Solution

    |

  18. If f(x) = x^(2) "sin" (1)/(x), where x ne 0, then the value of the fun...

    Text Solution

    |

  19. If f(x) = {(mx+1 , xle pi/2),(sinx+n, x gt pi/2):} is continuous a...

    Text Solution

    |

  20. lim(n rarr oo) (1^(2)+2^(2)+....+n^(2))/(2n^(3)+3n^(2)+4n+1 ) =

    Text Solution

    |