Home
Class 12
MATHS
Evaluate: ("lim")(xveca)(logx-loga)/(x-a...

Evaluate: `("lim")_(xveca)(logx-loga)/(x-a)`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVE

    BANSAL|Exercise All Questions|376 Videos

  • INTEGRALS

    BANSAL|Exercise All Questions|111 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_(xtoa) (logx-loga)/(x-a).

Evaluate: lim_(xtoe)(logx-1)/(x-e)

Evaluate: lim_(x rarr -1) (logx^(2)-log((1)/(x^(4)))+log3)/(log((x^(3))/(-3))) .

Evaluate: lim_(x rarr 1) [(logx^(3)+log((1)/(x^(2)))+log2)/(log(x^(3)+3))]

Evaluate lim_(xto1)(x^(3)-x^(2)logx+logx-1)/(x^(2)-1)

The value of lim_(xrarr0) (logx-1)/(x-e) , is

lim_(x->1)(1+logx-x)/(1-2x+x^2)

Evalaute lim_(xto1) (1+logx-x)/(1-2x+x^(2))

Evaluate: intsqrt (x)(logx)^2dx

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Evaluate: ("lim")(xvec1)(a^(x-1)-1)/(sinpix)

    Text Solution

    |

  2. Evaluate: ("lim")(xvec0)(10^x-2^x-5^x+1)/(xtanx)

    Text Solution

    |

  3. Evaluate: ("lim")(xveca)(logx-loga)/(x-a)

    Text Solution

    |

  4. Evaluate: ("lim")(xvec0)(log(5+x)-"log"(5-x))/x

    Text Solution

    |

  5. Leg pn=a^(P(n-1))-1,AAn=2,3, ,a n dl e tP1=a^x-1, where a in R^+dot ...

    Text Solution

    |

  6. Evaluate the following limit: (lim)(x->0)(e^(t a n x)-e^x)/(tanx-x)

    Text Solution

    |

  7. Evaluate the following limit: (lim)(x->0)(a^(t a n x)-a^(s in x))/(...

    Text Solution

    |

  8. Evaluate the following limit: (lim)(x->0)(e^x^2-cos^x)/(x^2)

    Text Solution

    |

  9. Evaluate the following limit: (lim)(x->0)(e^(sin2x)-e^(sin\ x))/x

    Text Solution

    |

  10. Evaluate the following limit: (lim)(x->0)(cos(x e^x)-"cos"(x e^(-x)...

    Text Solution

    |

  11. Evaluate the following limit: (lim)(x->0)(e^1//x^2-1)/(2\ a r ctanx...

    Text Solution

    |

  12. If (lim)(x->1)(pi/4-tan^(-1)\ \ x)/(e^("sin"(lnx))-x^n) exists and has...

    Text Solution

    |

  13. Evaluate the following limit: (lim)(x->oo)(a^(1//x)-1)x

    Text Solution

    |

  14. Evaluate the following limit: (lim)(x->0)(x(2^x-1))/(1-cos x)

    Text Solution

    |

  15. Evaluate the following limit: (lim)(x->2)("sin"(e^(x-2)-1))/("log"(...

    Text Solution

    |

  16. Evaluate the following limit: (lim)(x->0)(e^x^2-cos^x)/(x^2)

    Text Solution

    |

  17. Evaluate the following limit: (lim)(x->0)(e^x+e^(-x)-2)/(x^2)

    Text Solution

    |

  18. Evaluate the following limit: (lim)(x->a)(log(x-a))/("log"(e^x-e^a))

    Text Solution

    |

  19. Evaluate the following limit: (lim)(x->0)(a^(t a n x)-a^(sin x))/(t ...

    Text Solution

    |

  20. Evaluate: ("lim")(xvec0)((1-3^x-4^x+12^x))/(sqrt((2cosx+7)-3))

    Text Solution

    |