Home
Class 11
MATHS
Evaluate: lim(x->0)(log(5+x)-"log"(5-x))...

Evaluate: `lim_(x->0)(log(5+x)-"log"(5-x))/x`

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

lim_(x->0)log(1+2x)/x

Evaluate: lim_(x-0)((e^x-1)log_5(1+5x))/(sin^2x)

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

Evaluate: lim_(x rarr 0) ((e^(x)-1)log(1+x))/(sin^(2)x)

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

lim_(x->0)(log(1+x+x^2)+"log"(1-x+x^2))/(secx-cosx)=

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

Evaluate : lim_(x->0)(log)_(tan^2x)(tan^2 2x)dot

Evaluate: lim_(x rarr 0) ((e^(2)-1)log(1+x))/(sinx)

Evaluate: lim_(x rarr 0) log(1+3x)/(x)

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: lim(x->0)(3^(2x)-2^(3x))/x

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Find the value of the limit ("lim")(xto0) (((sqrt(a+x))-(sqrt(a-x)))/...

    Text Solution

    |

  16. Evaluate underset(xto0)lim(sin[cosx])/(1+[cosx]) ([.] denotes the grea...

    Text Solution

    |

  17. lim(x->0)((1^x+2^x+...........+n^x)/n)^(1/x) is equal to

    Text Solution

    |

  18. Consider the following graph of the function y=f(x). Which of the foll...

    Text Solution

    |

  19. If lim(xto0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must b...

    Text Solution

    |

  20. If underset(xtoa)lim[f(x)+g(x)]=2 and underset(xtoa)lim[f(x)-g(x)]=1, ...

    Text Solution

    |