Home
Class 12
MATHS
Evaluate the following limits: lim(xto...

Evaluate the following limits:
`lim_(xto0)(sqrt(x^2-1)+sqrt(x-1))/(sqrt(x^(2)-1))`

Text Solution

Verified by Experts

The correct Answer is:
`2`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBHS ARCHIVE 2017 (UNIT-1)|4 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBHS ARCHIVE 2017 (UNIT-2)|6 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (THREE DIMENSIONAL COORDINATE GEOMETRY)|10 Videos

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following limits: lim_(xto2a)(sqrt(x-2a)+sqrtx-sqrt2a)/(sqrt(x^(2)-4a^(2)))

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

Evaluate the following limits : Lim_(x to oo) (sqrt(3x^(2)-1)-sqrt(2x^(2)-1))/(4x+3)

Evaluate the following limits: lim_(xto3)(3-sqrt(6+x))/(3sqrt3-sqrt(6-x))

Evaluate the following limits: lim _(x->1)((sqrt(2-x)-1)/(1-x))

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

Evaluate the following limits : lim_(xrarrinfty)(x-sqrt(x^2+ x))

Evaluate the following limits : lim_(xrarr0)sqrt((1/2(1-cos2x))/x

Evaluate the following limits: lim_(xto0)(sinx^(2)(1-cosx^(2)))/(x^(6))

Evaluate the following limits : underset(xrarr0)"lim"(sqrt(1+x)-sqrt(1-x))/(x)

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-CALCULUS
  1. If f(x)=lim(ntooo)(x^(n)g(x)+h(x))/(x^(n)+1) show that f(x) =h(x), wh...

    Text Solution

    |

  2. If lim(xto0)(sin2x+asinx)/(x^(3)) is finite, find a and the limit.

    Text Solution

    |

  3. Evaluate the following limits: lim(xto0)(sqrt(x^2-1)+sqrt(x-1))/(sqr...

    Text Solution

    |

  4. Evaluate the following limits: lim(xto2a)(sqrt(x-2a)+sqrtx-sqrt2a)/(...

    Text Solution

    |

  5. Evaluate the following limits: lim(xto0)(sinx^(2)(1-cosx^(2)))/(x^(6...

    Text Solution

    |

  6. Evaluate the following limits: lim(xto0)(xe^(x)-log(1+x))/(x^(2))

    Text Solution

    |

  7. Evaluate the following limits: lim(hto0)((a+h)^(2)sin(a+h)-a^(2)sina...

    Text Solution

    |

  8. Evaluate the following limits: lim(ntooo)[(n)/(n^(2))+(n+1)/(n^(2))+...

    Text Solution

    |

  9. Evaluate the following limits: lim(xto3)(3-sqrt(6+x))/(3sqrt3-sqrt(6...

    Text Solution

    |

  10. Evaluate the following limits: lim(xto0)(sqrt(cosx)-root3cosx)/(sin^...

    Text Solution

    |

  11. Evaluate the following limits: lim(xto0)[coec^(3)xcotx-2cot^(3)xcose...

    Text Solution

    |

  12. Evaluate the following limits: lim(xto(pi)/(2))(xtanx-(pi)/(2)secx)

    Text Solution

    |

  13. Show that lim(xto1)(sqrt(1-cos(x-1)))/(x-1) does not exist.

    Text Solution

    |

  14. Evaluate: lim(xto2)(2^(x)+2^(3-x)-6)/(sqrt(2^(-x))-2^(1-x))

    Text Solution

    |

  15. Evaluate: lim(xto(pi)/(2))((2xsecx)/(pi)-tanx)

    Text Solution

    |

  16. Evaluate: lim(xto0)(cosx)^(cot^(2)x)

    Text Solution

    |

  17. Evaluate: lim(xto(1)/(2))(cos^(2)pix)/(e^(2x)-2ex)

    Text Solution

    |

  18. Evaluate: lim(xto(pi)/(3))(tan^3x-3tanx)/(cos(x+(pi)/(6)))

    Text Solution

    |

  19. Evaluate: lim(xtoa)(ae^(x)-xe^(a))/(x-a)

    Text Solution

    |

  20. Evaluate: lim(xto0)(e^(x)-log(e+ex))/(x)

    Text Solution

    |