Home
Class 12
MATHS
lim(x rarr 0) (cos (sinx )-1)/x^(2) =...

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

A

1

B

(-1)

C

(1/2)

D

(-1/2)

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 0) (1-cos (x/3))/(x^(2)) =

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

lim_(x rarr 0) (e^(x)-(1+x))/x^(2) =

lim_(x rarr 0) (sin^(2)(x/4))/(x^(2)) =

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

lim_(x rarr 0) (1-cos 5x)/(sin^(-1) 2x) =

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

lim_(x rarr 0) (cos 9x - cos 7x )/(x^(2)) =

HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. lim(theta rarr 0) (4 theta(tan theta-sin theta))/(1-cos 2 theta)^2 is

    Text Solution

    |

  2. For x in R, lim(x rarr oo) ((x-3)/(x+2))^(x) is equal to :

    Text Solution

    |

  3. lim(x rarr 0) (cos (sinx )-1)/x^(2) =

    Text Solution

    |

  4. lim(x rarr -2) (sin^(-1)(x+2))/(x^(2)+2x) =

    Text Solution

    |

  5. lim(n rarr oo) ((n^(2)-n+1)/(n^(2)-n-1))^(n(n-1) ) =

    Text Solution

    |

  6. The value of lim(x rarr 0) (sqrt((1)/(2) (1-cos 2x)))/(x) is :

    Text Solution

    |

  7. The value of lim(x rarr 0) (int(0)^(x^(2))cos t^(2)dt)/(x sin x) is :

    Text Solution

    |

  8. lim(x rarr 0) (sin nx[(a-n)nx - tan x])/(x^(2)) = 0, where n is non-ze...

    Text Solution

    |

  9. Let f(2)=4 and f'(2)=4. Then lim(xto2)(xf(2)-2f(x))/(x-2) is given b...

    Text Solution

    |

  10. lim(x rarr oo) (logx^(n)-[x])/([x]), where n in N and [.] denotes the ...

    Text Solution

    |

  11. Let f(a) = g(a) = k and their n^(th) order derivatives exist and are n...

    Text Solution

    |

  12. Let f:R to R be a positive increasing function with lim(x to oo) (f(3x...

    Text Solution

    |

  13. lim(x rarr 0) x^(2). sin (pi/x) is

    Text Solution

    |

  14. If 0 lt x lt y, then lim(n rarroo)(y^(n)+x^(n))^(1/n) is equal to

    Text Solution

    |

  15. The value of lim(x rarr 0) (e^(x)-e^(sinx))/(2 (x-sinx))=

    Text Solution

    |

  16. If f(x) = {((sin(1+[x]))/([x]), for [x] ne 0),(0, for [x] = 0):} , wh...

    Text Solution

    |

  17. If f : R rarr R is defined by f(x) = [x-3]+|x-4| for x in R, then lim(...

    Text Solution

    |

  18. lim(x rarr 0) ((1-e^(x))sin x)/(x^(2)+x^(3)) =

    Text Solution

    |

  19. lim(x rarr 0) (sqrt(1+x)-1)/x =

    Text Solution

    |

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

    Text Solution

    |