Home
Class 12
MATHS
Evaluate: ("lim")(xvec0)(log(5+x)-"log"...

Evaluate: `("lim")_(xvec0)(log(5+x)-"log"(5-x))/x`

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)_(xvec 0)(log(5+x)-log(5-x))/(x)

lim_(x rarr0)(log(a+x)-log(a-x))/(x)

Evaluate lim_(xto0)(log(5+x)-log(5-x))/x

"lim_(x rarr0)[(log(2+x)-log(2-x))/(x)]

If lim_(x rarr0)(log(3+x)-log(3-x))/(x)=

lim_(x rarr0)((log(4-x)-log(4+x))/(x))

Evaluate: (lim)_(x rarr e)(log x-1)/(x-e)

The value of ("lim")_(xvec0)(e^(2x)-cos x-"ln"(1+2x))/(xtanx-sinx)i s 0 (b) 1 (c) 2 (d) 3

lim_(x rarr0)[(log(1+7x)-log(1+3x))/(x)]

lim(x rarr0)(log(2+x)+log(0.5))/(x)

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Evaluate: ("lim")(xvec0)(10^x-2^x-5^x+1)/(xtanx)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Evaluate: ("lim")(xvec0)((729)^x-(243)^x-(811)^x+9^x+3^x-1)/(x^3)

    Text Solution

    |