Home
Class 12
MATHS
Evaluate the limit: ("lim")(hvec0)[1/(h8...

Evaluate the limit: `("lim")_(hvec0)[1/(h8+h3)-1/(2h)]`

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 the limit: lim_(h rarr0)[(1)/(h root(3)(8+h))-(1)/(2h)]

Evaluate the following limits : lim_(h to 0)1/h[1/(x+h)-1/x]

Evaluate lim_(hto0) [(1)/(h^(3)sqrt(8+h))-(1)/(2h)].

Evaluate the following limits: lim_(hto0)((sqrt(1+h)-1)/(h))

Evaluate the following limit: (lim)_(x rarr-1/2)(8x^(3)+1)/(2x+1)

23.The value of lim_(h rarr0)((1)/(h(8+h)^((1)/(3)))-(1)/(2h)) equals

Evaluate the following limits: lim_(xrarr0)((sqrt(x+h)-sqrtx)/(x))

Evaluate lim_(hto0)(log_(10)(1+h))/h

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Evaluate the limit: ("lim")(xvecoo)[sqrt(a^2x^2+a x+1)-sqrt(a^2x^2+1)]

    Text Solution

    |

  2. Evaluate the limit: ("lim")(x rarr a)(sqrt(3x-a)-sqrt(x+a))/(x-a)

    Text Solution

    |

  3. Evaluate the limit: ("lim")(hvec0)[1/(h8+h3)-1/(2h)]

    Text Solution

    |

  4. Evaluate: lim(x->oo) (x+7sinx)/(-2x+13) using sandwich theorem.

    Text Solution

    |

  5. If [dot] denotes the greatest integer function, then find the value of...

    Text Solution

    |

  6. Evaluate : ("lim")(xrarroo) 1/(1+n^2)+1/(2+n^2)+...+n/(n+n^2)

    Text Solution

    |

  7. Evaluate the following limit bases on Sandwich theorem: If 4x-9lt=f...

    Text Solution

    |

  8. Evaluate the following limit bases on Sandwich theorem: 2xlt=g(x)lt...

    Text Solution

    |

  9. Evaluate the limit ("lim")(xrarr0)(sin3x)/x

    Text Solution

    |

  10. Evaluate the limit: ("lim")(xvec0)(sina x)/(sinb x)

    Text Solution

    |

  11. Evaluate the limit: ("lim")(xvec1)("sin"(logx))/(logx)

    Text Solution

    |

  12. Evaluate: ("lim")(xvec0)1/xsin^(-1)((2x)/(1+x^2))

    Text Solution

    |

  13. Evaluate: ("lim")(xvec0)(1-cos2x)/(x^2)

    Text Solution

    |

  14. Evaluate: ("lim")(xvec0)(tanx-sinx)/(x^3)

    Text Solution

    |

  15. Evaluate: lim(x->pi/2)(1+cos2x)/((pi-2x)^2)

    Text Solution

    |

  16. lim {x->oo} 2^(x-1) tan(a/(2^x))

    Text Solution

    |

  17. Evaluate: lim(x->2)(x^2-x-2)/(x^2-2x-"sin"(x-2))

    Text Solution

    |

  18. Evaluate: lim(x->oo)x(tan^(-1)((x+1)/(x+4))-pi/4)

    Text Solution

    |

  19. Evaluate: (lim)(x->0)sin8xcot3x. If it is of the form p/q, then (p+q)=...

    Text Solution

    |

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

    Text Solution

    |