Home
Class 12
MATHS
lim(xto pi//3) (2sin(x-pi//3))/(1-2cosx)...

`lim_(xto pi//3) (2sin(x-pi//3))/(1-2cosx)` is

A

`1//sqrt2`

B

`2//sqrt3`

C

`2//3`

D

`1//3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Solved Examples Level 2 (Single Correct Answer)|30 Videos

  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Numberical Answer)|16 Videos

  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Single Correct Answer)|10 Videos

  • JEE (MAIN) QUESTIONS WITH SOLUTIONS MATHEMATICS (7 TH JAN-MORNING )

    MCGROW HILL PUBLICATION|Exercise QUESTIONS|25 Videos

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

lim_( x to pi//6) (sin(x-pi//6))/(sqrt3//2-cosx) is equal to

lim_(xto pi//2) (sin(xcosx))/(cos(xsinx)) is equal to

lim _(xto (pi)/(3 )) (sin ((pi)/(3)-x))/( 2 cos x-1) is equal to:

lim_(x to pi/2)(1-sinx)/(cosx) is equal to :

lim_(xto(pi)) (1-sin(x/2))/(cosx/2(cosx/4-sinx/4))

Evaluate, lim_(xto(pi//4)) (sinx-cosx)/(x-pi/4)

The value of lim_(xto pi) (1+cos^(3)x)/(sin^(2)x)" is "

lim_(xto pi/4) (cot^3x-tanx)/(cos(x+pi/4)) is

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

The value of lim_(xto pi//2)(cot x-cosx)/(pi-2x)^3 is

MCGROW HILL PUBLICATION-LIMITS AND CONTINUITY-Solved Examples Level 1 (Single Correct Answer)
  1. lim(xto0)(tanx-x)/(x^2tanx) equals

    Text Solution

    |

  2. The value of lim(n rarr oo)(1/(1-n^4)+8/(1-n^4)+...+n^3/(1-n^4)) is

    Text Solution

    |

  3. lim(xto pi//3) (2sin(x-pi//3))/(1-2cosx) is

    Text Solution

    |

  4. lim(xtopi//4)(1-cot ^3x)/(2-cot x-cot ^3x), is

    Text Solution

    |

  5. lim(x->1)[((4)/(x^2-x^-1)-(1-3x+x^2)/(1-x^3))^-1+3(x^4-1)/ (x^3-x^-1)...

    Text Solution

    |

  6. lim(xto3)sqrt(1-cos2(x-3))/(x-3)

    Text Solution

    |

  7. Let f : R to [0,oo)" be such that "underset(x to 5)lim f(x)" exists an...

    Text Solution

    |

  8. If f(x)={((sin(1+[x]))/([x])"for"[x] ne 0,),(0" for " [x]-0,):} where ...

    Text Solution

    |

  9. Let f(x) = {(x sin(1/x)+sin(1/x^2),; x!=0), (0,;x=0):}, then lim(x rar...

    Text Solution

    |

  10. which of the following limits equal to 1/2 : (A) lim(n->oo)(1/1.3+...

    Text Solution

    |

  11. If lim(x to 0) (1+ax)^(b//x)=e^4 , where a and b are natural numbers t...

    Text Solution

    |

  12. lim(xto0)(a^x-1)/(sqrt(a+x)-sqrta) is

    Text Solution

    |

  13. f(x) = 3x^10 – 7x^8+ 5x^6 -21x^3 + 3x^2 –7, then is the value of lim(...

    Text Solution

    |

  14. lim(x rarr0)(e^(x^(2))-cos x)/(x^(2))" is equal to " (a) 3/2 (b) 1/...

    Text Solution

    |

  15. Let f(x)=ltxgt^(**), where lt xgt^(**) is the distance from x to the i...

    Text Solution

    |

  16. lim(x to 0) ((1-cos 2x)(3+cosx))/(x tan 4x) is equal to

    Text Solution

    |

  17. lim(xto0)(sin(picos^(2)x))/(x^(2)) is equal to

    Text Solution

    |

  18. Let f(x)=sgn (sgn (sgn x)). Then lim(x to0) f(x) is

    Text Solution

    |

  19. lim(x->a-) {(|x|^3)/a-[x/a]^3} ,(a < 0), where [x] denotes the greates...

    Text Solution

    |

  20. lim(x to 0){(1+tanx)/(1+sinx)}^("cosec x") is equal to

    Text Solution

    |