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

Evaluate the following limit: `underset( x rarr a) ( "lim")(sqrt(x)+sqrt(a))/(x+a)`

Text Solution

Verified by Experts

Given,
`(lim)_(x->a)(sqrtx+sqrta)/(x+a)`
`=(lim)_(x->a)(sqrta+sqrta)/(a+a)`
`=(2sqrta)/(2a)`
`=1/(sqrta)`
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)(s in sqrt(x)-s in sqrt(a))/(x-a)

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

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

lim_(x rarr a)(x-a)/(sqrt(x)-sqrt(a))

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

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

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

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

Evaluate the following limit: (lim)_(x rarr3)(x-3)/(sqrt(x-2)-sqrt(4-x))

lim_(x rarr a)((sqrt(x)-sqrt(a))/(x-a))

RD SHARMA-LIMITS-All Questions
  1. Evaluate the following limit: underset( x rarr 3) ( "lim")(x^2-2)/(x+2...

    Text Solution

    |

  2. Evaluate the following limit: underset( x rarr 0) ( "lim")(2x^2+3x+4)/...

    Text Solution

    |

  3. Evaluate the following limit: underset( x rarr a) ( "lim")(sqrt(x)+sqr...

    Text Solution

    |

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

    Text Solution

    |

  5. Evaluate the following limit: underset( x rarr 0) ( "lim")(a x+b)/(c x...

    Text Solution

    |

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

    Text Solution

    |

  7. Evaluate the following limit: underset( x rarr 1) ( "lim")(1+(x-1)^2)/...

    Text Solution

    |

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

    Text Solution

    |

  9. Evaluate the following limit: underset( x rarr 0) ( "lim")(3x+1)/(x+3)

    Text Solution

    |

  10. Evaluate:underset( x rarr 2) ( "lim")(x^3-6x^2+11 x-6)/(x^2-6x+8)

    Text Solution

    |

  11. Evaluate : underset( x rarr 1) ( "lim")(2/(1-x^2)+1/(x-1))

    Text Solution

    |

  12. Evaluate:underset( x rarr sqrt(2)) ( "lim")(x^9-3x^8+x^6-9x^4-4x^2-16 ...

    Text Solution

    |

  13. Evaluate the following limit: lim(x rarr -5)(2x^2+9x-5)/(x+5)

    Text Solution

    |

  14. Evaluate the following limit: underset( x rarr 3) ( "lim")(x^4-81)/(x^...

    Text Solution

    |

  15. Evaluate the following limit: underset( x rarr - 1/2) ( "lim")(8x^3+1)...

    Text Solution

    |

  16. Evaluate the following limit: underset( x rarr 2) ( "lim")(x^4-16)/(x-...

    Text Solution

    |

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

    Text Solution

    |

  18. Evaluate the following limit: underset( x rarr sqrt(3)) ( "lim")(x^4-9...

    Text Solution

    |

  19. Evaluate the following limit: underset( x rarr 1) ( "lim")(1/(x^2+x-2)...

    Text Solution

    |

  20. Evaluate the following limit: underset( x rarr 2) ( "lim")(1/(x-2)-2/(...

    Text Solution

    |