Home
Class 12
MATHS
lim(x->0^+)cos^(- 1)(1-x)/(sqrt(x))...

`lim_(x->0^+)cos^(- 1)(1-x)/(sqrt(x))`

A

`(1)/( sqrt(2))`

B

`sqrt(2)`

C

1

D

`0`

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

lim_(x rarr 0^+)(cos^(-1)(1-x))/(sqrt(x)) is equal to

lim_(x rarr0^(+))(cos^(-1)(1-x))/(sqrt(x))=

Let f(x)=(sin^(-1)(1-{x})*cos^(-1)(1-{x}))/(sqrt(2{x})(1-{x})) then find lim_(x rarr0^(+))f(x) and lim_(x rarr0^(-))f(x)

lim_(xrarr0)(pi^(x)-1)/(sqrt(1+x)-1)

lim_(x to 0) (1 - cos x)/(x sqrt(x^(2))

lim_(x rarr0)(cos^(-1)((1-x^(2))/(1+x^(2))))/(sin^(-1)x)

lim_(x rarr0)(cos x)/(x+1)

lim_(x to 0) (2^(x) - 1)/(sqrt(1 + x) - 1) =

MOTION-LIMIT-EXERCISE -1
  1. lim(x->pi/2) ((1-tan(x/2))(1-sinx))/((1+tan(x/2))((pi-2x)^3))

    Text Solution

    |

  2. The limit underset( x rarr0 ) ( "lim") ( 1- cos x sqrt( cos 2x))/( x^(...

    Text Solution

    |

  3. lim(x->0^+)cos^(- 1)(1-x)/(sqrt(x))

    Text Solution

    |

  4. underset( x rarr 0 ) ("lim") [ ( 1-e^(x)) ( sin x )/( |x|)] is equal ...

    Text Solution

    |

  5. Evaluate: underset(hrarr0)("lim")(2[sqrt(3)sin(pi/6+h)-cos(pi/6+h)])/(...

    Text Solution

    |

  6. lim(x->0) sin(6x^2)/(lncos(2x^2-x)

    Text Solution

    |

  7. The value of underset( x rarr 0 ) ( "Lim") ( sin ( ln ( 1+ x)))/( ln (...

    Text Solution

    |

  8. underset( x rarr pi //2) ("Lim") ( 2 ^(cos x) - 1)/( x ( x-pi //2))= ...

    Text Solution

    |

  9. lim(x->0)((4^x-1)^3)/(sin(x/p)ln(1+(x^2)/3) is equal to

    Text Solution

    |

  10. The limit underset( x rarr a ) ("Lim") (2 -( a)/(x))^(tan ((pix)/( 2a)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |