Home
Class 12
MATHS
lim(x rarr 0) (cosec x - cot x)/x is...

`lim_(x rarr 0) (cosec x - cot x)/x` is

A

(-1/2)

B

1

C

(1/2)

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
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) (cos 9x - cos 7x )/(x^(2)) =

lim_(x rarr 0) (1- cos x)/(x^(2)) is :

lim_(x rarr 0) (1-cos 7x)/(1- cos 9x) =

lim_(x rarr 0) (log_(sec x//2) cos x)/(log_(sec x)cos x//2) is equal to :

lim_(x rarr 0) ((1-cos 2x)(3 + cos x))/(x tan 4 x) is equal to :

lim_(x rarr 0) (x^(2) cos x)/(1- cos x) is

lim_(x rarr 0) (1-cos 4x)/(x2) =

lim_(x rarr 0) (cos (sinx )-1)/x^(2) =

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

    Text Solution

    |

  2. The value of lim(theta to 0)(1-cos 4theta)/(1-cos 6 theta) is

    Text Solution

    |

  3. lim(x rarr 0) (cosec x - cot x)/x is

    Text Solution

    |

  4. lim(x rarr 0) (sin x)/(sqrt(x + 1) - sqrt(1-x)) is :

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |