Home
Class 12
MATHS
Evaluate the following limit: (lim)(x-...

Evaluate the following limit: `(lim)_(x->0)(sqrt(1+t a n x)-sqrt(1+sin x))/(x^3)`

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 of the following limit: (lim)_(x->0)(x-t a n x)/(x^3)

Evaluate the following limit: (lim)_(x->0)(t a n2x-x)/(3x-sin x)

Evaluate the following limit: (lim)_(x->9)(3-sqrt(x))/(4-sqrt(2x-2))

Evaluate the following limit: (lim)_(x rarr0)(x)/(sqrt(1+x)-sqrt(1-x))

Evaluate the following limits: lim_(xrarr0)(sqrt(1+sinx)-1sqrt(1-sinx))/(x)

Evaluate the following limit: (lim)_(x rarr0)(sqrt(1+x)-sqrt(1-x))/(2x)

Evaluate the following limits : lim_(x to 0)(sqrt(1+x)-sqrt(1-x))/x

Evaluate the following limits: lim_(xrarr0)((sqrt(1+2x)-sqrt(1-2x)))/(sinx)

Evaluate the following limit: (lim)_(x rarr0)(sqrt(1+3x)-sqrt(1-3x))/(x^(2)-1)

Evaluate the following limit: (lim)_(x->0)(a^(t a n x)-a^(sin x))/(t a n x-sin x),\ a >0

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Evaluate the following limit: (lim)(x->0)(1-cos x)/(x^2)

    Text Solution

    |

  2. Evaluate the following limit: (lim)(x->0)(1-cos5x)/(3x^2)

    Text Solution

    |

  3. Evaluate the following limit: (lim)(x->0)(sqrt(1+t a n x)-sqrt(1+sin...

    Text Solution

    |

  4. Evaluate the following limit: (lim)(x->1)(x^3+x^2-2)/("sin"(x-1))

    Text Solution

    |

  5. Evaluate the following limit: (lim)(x->1)(1-x)tan(pix)/2

    Text Solution

    |

  6. Evaluate the following limit: (lim)(x->0)(xtan2x-2xtanx)/((1-cos2x)^...

    Text Solution

    |

  7. lim(x->0)(cos7x-cos9x)/(cosx-cos5x)

    Text Solution

    |

  8. Evaluate the following limit: (lim)(x->0)(1-cos xsqrt(cos2x))/(tan^...

    Text Solution

    |

  9. Evaluate the following limit: (lim)(x->0)(1-"cos"(1-cos x))/(sin^4x...

    Text Solution

    |

  10. Evaluate the following limit: (lim)(x->0)(1-cos m x)/(1-cos n x)

    Text Solution

    |

  11. Evaluate the following limit: (lim)(x->pi/4)(sqrt(2)cosx-1)/(cotx-1...

    Text Solution

    |

  12. Evaluate the following limit: (lim)(x->0)(cos2x-cos e c2x)/x

    Text Solution

    |

  13. Evaluate the following limit: (lim)(x->0)(t a n2x-x)/(3x-sin x)

    Text Solution

    |

  14. Evaluate: ("lim")(nvecoo)ncos(pi/(4n))sin(pi/(4n)) where (x , y)vec(0...

    Text Solution

    |

  15. Evaluate: ("lim")(xvec0)(2^x-1)/(sqrt(1+x)-1)

    Text Solution

    |

  16. Evaluate: ("lim")(xvec1)(a^(x-1)-1)/(sinpix)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. 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

    |