Home
Class 12
MATHS
lim(x rarr pi/6) ((3sinx - sqrt3 cos x)/...

`lim_(x rarr pi/6) ((3sinx - sqrt3 cos x)/(6x-pi)) =`

A

`sqrt3`

B

`1/sqrt3`

C

`-1/sqrt3`

D

`-sqrt3`

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 3)[x] =

lim_(x rarr pi) (sin x)/(x - pi) is

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

lim_(x rarr pi/3) (sin (pi/3-x))/(2 cos x-1) =

lim_(x rarr oo) ((2x+7sinx)/(4x+3cosx)) =

lim_(x rarr pi/6) (2sin^(2)x + sin x-1)/(2sin^(2)x-3sinx -1) =

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

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

HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. lim(x rarr 0) (4^(x)-9^(x))/(x*(4^(x)+9^(x)) ) =

    Text Solution

    |

  2. If lim(xtoa)(a^(x)-x^(a))/(x^(x)-a^(a))=-, then :

    Text Solution

    |

  3. lim(x rarr pi/6) ((3sinx - sqrt3 cos x)/(6x-pi)) =

    Text Solution

    |

  4. lim(n rarr oo) 1/n^(3) sum(k=1)^(n) k^(2)x =

    Text Solution

    |

  5. If f : R rarr R is defined by f(x) = {((x+2)/(x^(2)+3x+2), x in R-{-1,...

    Text Solution

    |

  6. If lim(x rarr 0) ((cos 4x + a cos 2x+b)/(x^(4))) is finite, then the v...

    Text Solution

    |

  7. lim(x rarr oo) {sqrt(x^(2) + 5x -7-x)} =

    Text Solution

    |

  8. lim(x rarr pi/6) (2sin^(2)x + sin x-1)/(2sin^(2)x-3sinx -1) =

    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. The value of the constant alpha and beta such that lim(x rarr oo) ((x^...

    Text Solution

    |

  11. lim(theta rarr 0) (4 theta(tan theta-sin theta))/(1-cos 2 theta)^2 is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |