Home
Class 12
MATHS
lim(hrarr0)2((sqrt3Sin(h+pi/6)-Cos(h+pi/...

`lim_(hrarr0)2((sqrt3Sin(h+pi/6)-Cos(h+pi/6))/(h(sqrt3Cosh-Sinh)))`

A

`4/3`

B

`(2)/( sqrt(3))`

C

`3/4`

D

`2/3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise SECTION-B|50 Videos
  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise (SECTION - A)|20 Videos
  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos
  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

Evaluate: lim_(h rarr0)(2[sqrt(3)sin((pi)/(6)+h)-cos((pi)/(6)+h)])/(sqrt(3)h(sqrt(3)cos h-sin h))

"lim_(h rarr0)(sqrt(x+h)-sqrt(x))/(h)

lim_(h rarr0)((xsin x)(cosh-1))/h

sin(x-pi/6)+cos(x-pi/3)=sqrt3 sinx

lim_(x rarr pi/6)(sqrt(3)sin x-cos x)/(x-(pi)/(6))

lim_(h rarr0)(sin sqrt(x+h)-sin sqrt(x))/(h)=

lim_(h rarr0)(1)/(h)((1)/(sqrt(x+h))-(1)/(sqrt(x)))

lim_(theta rarr(pi)/(6))((sin(theta-(pi)/(6)))/(sqrt(3)-2cos theta)

(i) lim_(x to (pi)/(2)) (1+cos 2x)/((pi-2x)^(2)) (ii) lim_( x to 0) (1-cos x.sqrt(cos 2x))/(x^(2)) (iii) lim_(thetararr(pi)/(6)) (sin(theta-(pi)/(6)))/(sqrt(3)-2 cos theta)

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-SECTION-A
  1. In the circle given below . Let OA = 1 unit , OB = 13 unit and...

    Text Solution

    |

  2. Sum of series 1+2/3+7/3^2+12/3^3 + . . . . . oo

    Text Solution

    |

  3. lim(hrarr0)2((sqrt3Sin(h+pi/6)-Cos(h+pi/6))/(h(sqrt3Cosh-Sinh)))

    Text Solution

    |

  4. Find maximum value of term independent of "t" in (tx^(1/5) + (1-x)^(1/...

    Text Solution

    |

  5. Growth of bacteria is directly proportional to number of bacteria . At...

    Text Solution

    |

  6. If (1,5,35 ),( 7,5,5),( 1, lamda ,7) and ( 2 lamda ,1,2) are coplan...

    Text Solution

    |

  7. Sin^-1x/a=Cos^-1x/b=tan^-1y/c value of cos((pic)/(a+b))

    Text Solution

    |

  8. The number of seven digit integers, with sum of the digits equal to 10...

    Text Solution

    |

  9. Let f be any function defined on R and let it satisfy the condition : ...

    Text Solution

    |

  10. y=1/2x^4-5x^3+18x^2-19x what will be max. value of slope at

    Text Solution

    |

  11. The intersection of three lines x-y=0 ,x +2y =3 and 2x +y=6 ...

    Text Solution

    |

  12. Consider the three planes P1 :3x +15 y +21 z=9, P2 :x - 3y ...

    Text Solution

    |

  13. The value of |((a+1)(a+2),a+2,1),((a+2)(a+3),a+3,1),((a+3)(a+4),a+4,1...

    Text Solution

    |

  14. The value of int(- pi//2) ^(pi//2) ( cos^2 x)/( 1+3^x ) dx is

    Text Solution

    |

  15. Let P(x,y) be a point which is a constant distance from the origin. Th...

    Text Solution

    |

  16. For the statements p and q, consider the following compound statements...

    Text Solution

    |

  17. Let a, b in R. If the mirror image of the point P(a, 6, 9) with respec...

    Text Solution

    |

  18. Equation of plane through (1,0,2) and line of intersection of planes v...

    Text Solution

    |

  19. If P is a point on the parabola y = x^2+ 4 which is closest to the str...

    Text Solution

    |

  20. The angle of elevation of a jet plane from a point A on the ground is...

    Text Solution

    |