Home
Class 11
MATHS
Evaluate the following limit: underset( ...

Evaluate the following limit: `underset( x rarr 1) ( "lim")(sqrt(5x-4)-sqrt(x))/(x-1)`

Text Solution

AI Generated Solution

To evaluate the limit \[ \lim_{x \to 1} \frac{\sqrt{5x - 4} - \sqrt{x}}{x - 1}, \] we can follow these steps: ...
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTIONS TO 3-D COORDINATE GEOMETRY

    RD SHARMA|Exercise Solved Examples And Exercises|114 Videos

  • LINEAR INEQUATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|163 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following limit: (lim)_(x rarr a)(cos x-cos a)/(sqrt(x)-sqrt(a))

Evaluate the following limit: (lim)_(x rarr1)(sqrt(5x-4)-sqrt(x))/(x^(2)-1)

Evaluate the following limit: (lim)_(x rarr1)(sqrt(5x-4)-sqrt(x))/(x^(3)-1)

Evaluate the following limit: (lim)_(x rarr a)(s in sqrt(x)-s in sqrt(a))/(x-a)

Evaluate the following limit: (lim)_(x rarr a)(x-a)/(sqrt(x)-sqrt(a))

Evaluate the following limit: (lim)_(x rarr1)(sqrt(x+8))/(sqrt(x))

Evaluate the following limit: (lim)_(x rarr1)(x-1)/(sqrt(x^(2)+3)-2)

underset( x rarr ( pi )/( 4))("Lim")(sqrt( 1- sqrt( sin x)))/(pi - 4x)

Evaluate the following limits : lim_(x rarr 2) (sqrt(3x-2) -x)/(2-sqrt(6-x))

Evaluate the following limit: (lim)_(x rarr a)(cos sqrt(x)-cos sqrt(a))/(x-a)

RD SHARMA-LIMITS-All Questions
  1. Evaluate the following limit: underset( x rarr 0) ( "lim")(sqrt(1+x)-s...

    Text Solution

    |

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

    Text Solution

    |

  3. Evaluate the following limit: underset( x rarr 1) ( "lim")(sqrt(5x-4)...

    Text Solution

    |

  4. Evaluate the following limit: underset( x rarr 3) ( "lim")(sqrt(x+3)-s...

    Text Solution

    |

  5. Find limit underset( x rarr 0) ( "lim") (sqrt(1+x)-1)/x

    Text Solution

    |

  6. Evaluate the following limit: underset( x rarr 2) ( "lim")(x-2)/(sqrt(...

    Text Solution

    |

  7. Evaluate the following limit: underset( x rarr 0) ( "lim")(sqrt(a+x)-s...

    Text Solution

    |

  8. Evaluate the following limit: underset( x rarr 1) ( "lim")(sqrt(5x-4)...

    Text Solution

    |

  9. Evaluate the following limit: underset( x rarr 1) ( "lim")(sqrt(3+x)-s...

    Text Solution

    |

  10. Evaluate the following limit: underset( x rarr 0) ( "lim")(sqrt(1+x^2)...

    Text Solution

    |

  11. Evaluate the following limit: underset( x rarr 4) ( "lim")(2-sqrt(x))/...

    Text Solution

    |

  12. Evaluate the following limit: underset( x rarr 0) ( "lim")(sqrt(1+3x)-...

    Text Solution

    |

  13. Evaluate the following limit: underset( x rarr 1) ( "lim")(sqrt(3+x)-s...

    Text Solution

    |

  14. lim(x->sqrt10)(sqrt(7+2x)-(sqrt(5)+sqrt(2)))/(x^2-10) is equal to

    Text Solution

    |

  15. Evaluate the following limit: underset( x rarr 0) ( "lim")(sqrt(1+x+x^...

    Text Solution

    |

  16. Evaluate the following limit: underset( x rarr a) ( "lim")(x-a)/(sqrt(...

    Text Solution

    |

  17. Evaluate the following limit: underset( x rarr 0) ( "lim")(sqrt(2-x)-s...

    Text Solution

    |

  18. Evaluate the following limit: underset( x rarr 1) ( "lim")((2x-3)(sqr...

    Text Solution

    |

  19. Evaluate:underset( x rarr 2) ( "lim") (x-2)/(root(3)(x)-root(3)(33))

    Text Solution

    |

  20. If underset( x rarr - a) ( "lim")(x^9+a^9)/(x+a)=9,\ find the real va...

    Text Solution

    |