Home
Class 12
MATHS
Lt(x rarr 0)(6^(x) - 3^(x) - 2^(x)+1)/(x...

`Lt_(x rarr 0)(6^(x) - 3^(x) - 2^(x)+1)/(x^(2)) =`

A

`(log_(e)2)log_(e)3`

B

`log_(e)5`

C

`log_(e) 6`

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES AND DIRECTION RATIOS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET -2|3 Videos
  • EAMCET - 2016 TS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Questions|80 Videos

Similar Questions

Explore conceptually related problems

Lt_(xto0) (6^x -3^x -2^x +1)/(x^2)=

Evulate Lt_(x to 0)(27^(x)-9^(x)-3^(x)+1)/(x^(2))

Evaluate Lt_(xto0)(27^(x)-9^(x)-3^(x)+1)/x^(2) .

{:(" " Lt),(x rarr0):}(int_(0)^(x) sin^(3) t dt)/(x^(4))=

underset(x rarr 0)(lim) (cos 4x - 4 cos 2x + 3)/(x^(4)) =

Lt_(x to 0)(e^(2x)+x)^(1//x) =

Lt_(x to 0) ((2^(x)+2^(2x)+2^(3x))/(3))^(1//x)=

DIPTI PUBLICATION ( AP EAMET)-EAMCET - 2016 AP-Questions
  1. If a line makes angles alpha,beta,lambda,delta with the 4 diagonals of...

    Text Solution

    |

  2. If the plane 56x + 4y + 9z = 2016 meets the coordinates axes in A, B ,...

    Text Solution

    |

  3. The value (s) of x for which the function f(x) = {{:(1 -x " , " x ...

    Text Solution

    |

  4. Lt(x rarr 0)(6^(x) - 3^(x) - 2^(x)+1)/(x^(2)) =

    Text Solution

    |

  5. Define f(x) = {{:(x^(2)+bx+c , ",",x lt 1),(x,",",x ge 1):}. If f(x) i...

    Text Solution

    |

  6. If x = a is a root of multiplicity two of a polynomial equation f(x) =...

    Text Solution

    |

  7. If y=log(2)(log(2)x)," then "dy/dx=

    Text Solution

    |

  8. The angle of intersection between the curves y^(2) + x^(2) = a^(2) sqr...

    Text Solution

    |

  9. If A gt 0, B gt 0 and A+B=(pi)/(3), then the maximum value of tan A ta...

    Text Solution

    |

  10. The equation of the common tangent drawn to the curves y^(2) = 8x and ...

    Text Solution

    |

  11. Suppose f(x) = x(x+3)(x-2), x in [-1, 4]. Then a value of c in (-1, 4)...

    Text Solution

    |

  12. If int x^(3)e^(5x)dx-(e^(5x))/(5^(4))(f(x))+0(3) then f(x)=

    Text Solution

    |

  13. int (x)/((x^(2)+2x+2)^(2))dx=

    Text Solution

    |

  14. If int log (a^(2)+x^(2))dx=h(x)+c, then h(x)=

    Text Solution

    |

  15. For x gt 0, if int(logx)^(5)dx=x(A(logx)^(5)+B(logx)^(4)+C(logx)^(3)+D...

    Text Solution

    |

  16. The area included between the parabola y=(x^(2))/(4a) and the curve y=...

    Text Solution

    |

  17. By the definition of the definite integral, the value of lim(n rarr oo...

    Text Solution

    |

  18. int(-pi//4)^(pi//4)((x+pi//4)/(2-cos2x))dx=

    Text Solution

    |

  19. The solution of the differential equation (1 + y^(2)) + (x- e^(Tan^(-1...

    Text Solution

    |

  20. The solution of the different equation (2x - 4y + 3)(dy)/(dx) + (x - 2...

    Text Solution

    |