Home
Class 11
MATHS
Evaluate: lim(x->a)(logx-loga)/(x-a)...

Evaluate: `lim_(x->a)(logx-loga)/(x-a)`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

Evaluate: lim_(x->0)(logcosx)/x

Evaluate: lim_(x->2)(x-2)/((log)_a(x-1))

Evaluate: lim_(x->a)("log"(x-a))/(log(e^x-e^a))

Evaluate: lim_(x->0)(e^x-1-x)/(x^2)

Evaluate: lim_(x->2) (x^2-1)/(2x+4)

Evaluate lim_(xtooo) (log_(e)x)/(x)

Evaluate: lim_(x->0)(x2^x-x)/(1-cosx)

Evaluate: lim_(xrarr0)x^x

Evaluate: lim_(x rarr 1) (e^(logx)-1)/(e^(x-1)-1)

Evaluate: lim_(xtoa)(ae^(x)-xe^(a))/(x-a)

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: lim(x->2)(x-2)/((log)a(x-1))

    Text Solution

    |

  2. Evaluate: lim(x->0)(e^(sinx)-(1+sinx))/({tan^(-1)(sinx)}^2)

    Text Solution

    |

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

    Text Solution

    |

  4. Evaluate: (lim)(x->(3pi)/4)(1+(tanx)^(1/3))/(1-2cos^2x)

    Text Solution

    |

  5. Evaluate: lim(x->0)(10^x-2^x-5^x+1)/(xtanx)

    Text Solution

    |

  6. lim(xto-1)((x^4+x^2+x+1)/(x^2-x+1))^((1-cos(x+1))/((x+1)^(2)) is equal...

    Text Solution

    |

  7. Evaluate: lim(x->0)(3^(2x)-2^(3x))/x

    Text Solution

    |

  8. lim(x->2)(((x^3-4x)/(x^3-8))^(-1)-((x+sqrt(2x))/(x-2)-(sqrt(2))/(sqrt(...

    Text Solution

    |

  9. Evaluate: lim(x->0)(log(5+x)-"log"(5-x))/x

    Text Solution

    |

  10. Each question contains statements given in two columns which have to b...

    Text Solution

    |

  11. Let P(n)=a^(P(n-1))-1,AA n=2,3,..., and let P(1)=a^(x)-1, where ainR^(...

    Text Solution

    |

  12. Column I ([.] denotes the greatest integer function), Column II ""(...

    Text Solution

    |

  13. Let f(x)={x+1,x >0, 2-x ,xlt=0 and g(x)={x+3,x<1,x^2-2x-2,1lt=x<2, ...

    Text Solution

    |

  14. Evaluate: lim(x->oo) (x+7sinx)/(-2x+13)

    Text Solution

    |

  15. Find the values of b for which the points (2b+3, b^(2)) lies above of ...

    Text Solution

    |

  16. If f(x)={{:((x-|x|)/(x)","xne0),(2", "x=0):},show that underset(xt...

    Text Solution

    |

  17. The reciprocal of the value of: lim(n->oo)(1-1/(2^2))(1-1/(3^2))(1-1/(...

    Text Solution

    |

  18. Show that ("lim")(xrarr0) (e^(1/x)-1)/(e^(1/x)+1) does not exist

    Text Solution

    |

  19. If f(x)={(x^2+2,,,xge2),(1-x ,,,xlt2):} ; g(x)={(2x,,,xgt1),(3-x ,,,...

    Text Solution

    |

  20. Evaluate underset(xto2^(+))lim([x-2])/(log(x-2)), where [.] represents...

    Text Solution

    |