Home
Class 12
MATHS
the value of lim(x->0)(cos(sinx)-cosx)/x...

the value of `lim_(x->0)(cos(sinx)-cosx)/x^4` is equal to:

A

`1//5`

B

`1//6`

C

`1//4`

D

`1//2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    MOTION|Exercise EXERCISE -2( LEVEL-I)|16 Videos

  • LIMIT

    MOTION|Exercise EXERCISE-2(LEVEL-2)|5 Videos

  • LIMIT

    MOTION|Exercise EXERCISE-4|17 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -4 Level -II|7 Videos

  • MATRICES

    MOTION|Exercise Exercise - 4 (Level-II)|28 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(xrarr0)(cos(tanx)-cosx)/(4x^(4)) is equal to

the value of lim_(x rarr0)(cos(sin x)-cos x)/(x^(4)) is equal to:

lim_(x rarr0)(cos(tan x)-cos x)/(x^(4)) is equal to :

The value of lim_(xrarr 0) (1-cos(1-cos x))/(x^4) is equal to

The value of lim_(xrarr0)(cos x+sinx)^((1)/(x)) is equal to to (take e = 2.71)

The value of lim _(xto0) (cos (sin x )- cos x)/(x ^(4)) is equal to :

lim_(xrarr0)(x^(2)cosx)/(1-cosx) is equal to

lim_(xrarr0) (e^(x^(2))-cosx)/(x^2) is equal to

MOTION-LIMIT-EXERCISE -1
  1. The limit underset( x rarr a ) ("Lim") (2 -( a)/(x))^(tan ((pix)/( 2a)...

    Text Solution

    |

  2. underset( x rarr oo) ( "Lim") ((x+ 2)/( x-2))^(x+1)=

    Text Solution

    |

  3. The value of underset( x rarr pi //4) ("Lim") ( 1+[x])^(1//ln( tan x)...

    Text Solution

    |

  4. lim(x->oo) ((x^2-2x+1)/(x^2-4x+2))^x is equal to

    Text Solution

    |

  5. underset( x rarr 0 ) ("lim") ( cos mx )^(n//x^(2))

    Text Solution

    |

  6. If lim(x -> oo) (1 + a/x + b/x^2)^(2x)= e^2 then the values of a and ...

    Text Solution

    |

  7. underset( x rarr0 ) ( "lim" )( cot ((pi)/( 4) + x ))^("cosecx")=

    Text Solution

    |

  8. lim(x->oo)(sin(1/x)+cos(1/x))^x

    Text Solution

    |

  9. lim(x->oo) (root(3)(1+x)-root(3)(1-x))/x

    Text Solution

    |

  10. underset( x rarr 1 )("lim")( root ( 3)(7+x^(3))- sqrt( 3 +x^(2)))/( x-...

    Text Solution

    |

  11. ABC is an isosceles triangle described in a circle of radius r.If AB=...

    Text Solution

    |

  12. The figure shows a right triangle with its hypotenuse OB along the y-a...

    Text Solution

    |

  13. lim(n->oo){(n/(n+1))^alpha+sin(1/n)}^n where alpha epsilon Q is equal ...

    Text Solution

    |

  14. underset( x rarr 0 ) ( "lim")( x tan 2x - 2x ta n x )/(( 1- cos 2x)^(...

    Text Solution

    |

  15. If underset( x rarr0 )("lim")((sin nx) [ ( a-n ) nx - 2 tan x])/( x^(2...

    Text Solution

    |

  16. lim[n->oo][5^[n+1]+3^n-2^[2n]]/[5^n+2^n+3^[2n+3]]

    Text Solution

    |

  17. the value of lim(x->0)(cos(sinx)-cosx)/x^4 is equal to:

    Text Solution

    |

  18. lim[x->0][e^[-x^2/2]-cosx]/[x^3sinx]

    Text Solution

    |

  19. If underset( x rarr 0 )( "lim") ( e^(-nx) + e^(nx) -cos""( nx)/( 2) - ...

    Text Solution

    |

  20. underset( x rarr 2) ( "lim") ( sin ( e^(x-2) - 1))/( ln ( x-1))=

    Text Solution

    |