Home
Class 11
MATHS
Evaluate: lim(x->oo)((sqrt(x^2+1)- ^3sqr...

Evaluate: `lim_(x->oo)((sqrt(x^2+1)- ^3sqrt(x^2+1)) / (4sqrt(x^4+1) -^5sqrt(x^4+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_(x->oo)(sqrt(3x^2-1)-sqrt(2x^2-1))/(4x+3)

Evaluate: lim_(xto2)(sqrt(1+sqrt(2+x))-sqrt3)/(x-2)

Evaluate: lim_(xrarr0)(sqrt(1+x^2)-sqrt(1+x))/(sqrt(1+x^3)-sqrt(1+x))

Evaluate : lim_(xrarr3)(x^2-9)/(sqrt(x-2)-sqrt(4-x))

Evaluate lim_(xtooo) (sqrt(x^(2)+1)-root(3)(x^3+1))/(root(4)(x^(4)+1)-root(5)(x^(4)+1))

lim_(x to 3) (x-3)/((sqrt(x-2)-sqrt(4-x))

Evaluate lim_(xtooo) x^(3){sqrt(x^(2)+sqrt(1+x^(4)))-xsqrt(2)}.

Evaluate lim_(xto-1^(+))(sqrt(pi)-sqrt(cos^(-1)x))/(sqrt(1+x)).

lim_(x->-oo)(x^2*tan(1/x))/(sqrt(8x^2+7x+1)) is

Evaluate: lim_(x->a)(sqrt(a+2x)-sqrt(3x))/(sqrt(3a+x)-2sqrt(x)),(a!=0)dot

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: lim(x->a)((x+2)^(5/3)-(a+2)^(5/3))/(x-a)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Evaluate: lim(x->oo)[x(a^(1/x)-1)], a >1

    Text Solution

    |

  14. If f(x)=2/(x-3),g(x)=(x-3)/(x+4) , and h(x)=-(2(2x+1))/(x^2+x-12) then...

    Text Solution

    |

  15. Evaluate: lim(xto0) ((1-3^(x)-4^(x)+12^(x)))/(sqrt((2cosx+7))-3)

    Text Solution

    |

  16. underset(xtooo)lim((x^(3))/(3x^(2)-4)-(x^(2))/(3x+2))" is equal to "

    Text Solution

    |

  17. Evaluate: lim(x->0)(a^(tanx)-a^(sinx))/(tanx-sinx),a >0

    Text Solution

    |

  18. lim(x->oo)((2x+1)^(40)(4x-1)^5)/((2x+3)^(45)) is equal to (a)16 ...

    Text Solution

    |

  19. Evaluate: lim(x->a)("log"(x-a))/(log(e^x-e^a))

    Text Solution

    |

  20. The value of underset(xto2)lim(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)" is "

    Text Solution

    |