Home
Class 12
MATHS
The value of lim (xto0) (27^(x)-9^(x)-3^...

The value of `lim _(xto0) (27^(x)-9^(x)-3^(x)+1)/(sqrt5 -sqrt(4+cos x))` is equal to-

A

`sqrt5 (log _(2)3) ^(2)`

B

`8sqrt5 (log _(e)3) ^(2)`

C

`8sqrt5log _(e) 3`

D

`16sqrt5 (log _(e)3) ^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 8|90 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 6|90 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 5|89 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

Evaluate : lim_(x to 0) (27^x-9^x-3^x+1)/(sqrt2-sqrt(1+cosx))

The value of lim _(xto0) (2^(x)-1)/(sqrt(1+x)-1) is-

The value of lim_(x to 0) (27^(x)-9^(x)-3^(x)+1)/(log_(e)(1+(x^(2))/(2))) is equal to -

lim _(xto0) (a ^(x) -b^(x))/(e ^(x)-1)

Evalaute lim_(xto0) (x2^(x)-x)/(1-cosx)

The value of lim _(xto4) (3- sqrt(5+x))/(1-sqrt(5-x)) is-

Evaluate lim_(xto0) (2^(x)-1)/(sqrt(1+x)-1).

Evaluate lim_(xto0) (e^(x)-1-x)/(x^(2)).

The value of lim_(xto0+)(x)/(p)[(q)/(x)] is

Evaluate: lim_(xto0) ((1-3^(x)-4^(x)+12^(x)))/(sqrt((2cosx+7))-3)

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 7
  1. If mapping f= {(1,-6), (2,-1) , (3,4) , (4,9)} is described by the rul...

    Text Solution

    |

  2. LetRR be the set of real numbers and f : RR to RR be defined by f(x)=s...

    Text Solution

    |

  3. Which of one of the following is the domain of the relation R defined ...

    Text Solution

    |

  4. If f (x+2)=3x +4, then the value of f (x ^(2) -1) is-

    Text Solution

    |

  5. If (x^(3))/((2x-1) (x+2) (x-3))=A+ (B)/(2x-1) +(C )/(x+2) + (D)/(x-3),...

    Text Solution

    |

  6. The focus of the parabola y ^(2) -x -2y+2=0 is at-

    Text Solution

    |

  7. The function f (x) =(2x^(2)+7)/(x ^(3) +3x ^(2) -x-3) is underfined at...

    Text Solution

    |

  8. The value of lim (xto0) (27^(x)-9^(x)-3^(x)+1)/(sqrt5 -sqrt(4+cos x)) ...

    Text Solution

    |

  9. The function f satisfies the function equation 3f(x) +2f ((x+59)/(x-1)...

    Text Solution

    |

  10. If y =sqrtx +(1)/(sqrtx), then the value of (2x (dy)/(dx)+y) is-

    Text Solution

    |

  11. The value of lim (x to 0) (2 ^(x) -2^(-x))/(x) is-

    Text Solution

    |

  12. A real valued function f (x) satisfied the functional relation f (x-y)...

    Text Solution

    |

  13. If f is a real valued difrerentiable function satisfying | f (x) - f (...

    Text Solution

    |

  14. Suppose f (x) is differentiable at x=1 and lim (h to0) (f(1+h))/(h) =5...

    Text Solution

    |

  15. If f(x) = cos (log (e) x), then f (x) f(y) -1/2 [f(xy) +f((x)/(y))] ha...

    Text Solution

    |

  16. If lim (xtooo)[(x ^(3) +1)/(x ^(2)+1)-(ax+b) ]=2, then the values of ...

    Text Solution

    |

  17. y= sqrt(3x) -sqrt((3)/(x))+ (x+6)/(6-x), then the vlaue of [(dy)/(dx)...

    Text Solution

    |

  18. The arange of the function f(x) =(3- cos 2x) ^(-1) is-

    Text Solution

    |

  19. The domain of defination of the function f (x )= log (3+x) (x^(2) -1) ...

    Text Solution

    |

  20. lim (xto0) (1-ax) ^(-1//x) is equal to-

    Text Solution

    |