Home
Class 11
MATHS
Evaluate underset(xto1)lim(sqrt(x)+sqrt(...

Evaluate `underset(xto1)lim(sqrt(x)+sqrt(sqrt(x))+sqrt(sqrt(sqrtx))+sqrt(sqrt(sqrt(sqrt(x))))-4)/(x-1).`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_(xto1)(sqrt(x)+sqrt(sqrt(x))+sqrt(sqrt(sqrtx))+sqrt(sqrt(sqrt(sqrt(x))))-4)/(x-1).

underset(xto oo)lim(sqrt(x-sqrtx)-sqrtx)

underset(xto oo)lim(sqrt(x+sqrt(x+sqrtx))-sqrtx)

underset(xto 4)lim(sqrt(1+sqrt(2+sqrtx))-sqrt3)/(x-2)

Evaluate : underset(xrarr3)"lim"(sqrt(x-3)+sqrt(x)-sqrt(3))/(sqrt(x^(2)-9)

Evaluate lim_(xtooo) sqrt(x)(sqrt(x+c)-sqrt(x)).

Evaluate : underset(xrarr0)"lim"(sqrt(1+ax)-sqrt(1-ax))/(x)

Evaluate : underset(nrarroo)"lim"(1+sqrt(n))/(1-sqrt(n))

underset (xto0) lim(sqrt(1-x^2)-sqrt(1+x^2))/x^2

Evaluate underset(xrarra)"lim"(sqrt(a+2x)-sqrt(3x))/(sqrt(3a+x)-2sqrt(x))[ane0]

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate underset(ntooo)limsin^(n)((2pin)/(3n+1)),ninN.

    Text Solution

    |

  2. lim(x->oo)(1/e-x/(1+x))^x is equal to (a) e/(1-e) (b) 0 (c) e/(e^...

    Text Solution

    |

  3. Evaluate underset(xto1)lim(sqrt(x)+sqrt(sqrt(x))+sqrt(sqrt(sqrtx))+sqr...

    Text Solution

    |

  4. lim(x->1)(1-x^2)/(sin2pix) is equal to (a)1/(2pi) (b) -1/pi (...

    Text Solution

    |

  5. Evaluate lim(x->2)(x^(10)-1024)/(x^5-32)

    Text Solution

    |

  6. ("lim")(xto0)1/xcos^(-1)((1-x^2)/(1+x^2)) is equals to (a)1 (b) 0 ...

    Text Solution

    |

  7. If lim(x->2)(x^n-2^n)/(x-2)=80 and n in N ,then find the value of n.

    Text Solution

    |

  8. lim(xtooo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 ...

    Text Solution

    |

  9. Evaluate: lim(x->a)((x+2)^(5/3)-(a+2)^(5/3))/(x-a)

    Text Solution

    |

  10. lim(x->oo)(2sqrt(x)+3x3+4x4++n x n)/(sqrt((2x-3))+(2x-3)3++(2x-3)n) ...

    Text Solution

    |

  11. Evaluate: lim(x->oo)((sqrt(x^2+1)- ^3sqrt(x^2+1)) / (4sqrt(x^4+1) -^5s...

    Text Solution

    |

  12. The value of lim(x->1)(1-sqrt(x))/((cos^(-1)x)^2) is (a)4 (b) ...

    Text Solution

    |

  13. Evaluate lim(xtooo) sqrt(x)(sqrt(x+c)-sqrt(x)).

    Text Solution

    |

  14. lim(xrarroo)((x+1)^(10)+(x+2)^(10)+...+(x+100)^(10))/(x^(10)+10^(10)) ...

    Text Solution

    |

  15. Evaluate: lim(x->0)(e^(x^2)-cosx)/(x^2)

    Text Solution

    |

  16. lim(x->oo)[sqrt(x+sqrt(x+sqrt(x)))-sqrt(x)] is equal to (a)0 (...

    Text Solution

    |

  17. Evaluate: lim(x->2)(sin(e^(x-2)-1))/(log(x-1))

    Text Solution

    |

  18. lim(n->oo)(n(2n+1)^2)/((n+2)(n^2+3n-1)) is equal to (a)0 (b) ...

    Text Solution

    |

  19. Evaluate: lim(x->0)(x2^x-x)/(1-cosx)

    Text Solution

    |

  20. lim(x->0)(x(e^x-1))/(1-cosx) is equal to

    Text Solution

    |