Home
Class 11
MATHS
Evaluate: lim(x->oo)[x(a^(1/x)-1)], a >1...

Evaluate: `lim_(x->oo)[x(a^(1/x)-1)], a >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->0)(e-(1+x)^(1/x))/x

Evaluate: lim_(x->0)(e^x-1-x)/(x^2)

Evaluate: lim_(x->2) (x^2-1)/(2x+4)

Evaluate lim_(xtooo)(1+2/x)^(x)

Evaluate: lim_(xto1)(x^(x)-1)/(xlogx)

Evaluate: ("lim")_(xtooo) (1+1/x)^x

Evaluate: lim_(x->oo)x(tan^(-1)((x+1)/(x+4))-pi/4)

Evaluate: lim_(x->oo) (x+7sinx)/(-2x+13)

Evaluate : lim_(x->1)(2/(1-x^2)+1/(x-1))

Evaluate: lim_(x->0)(2^x-1)/((1+x)^(1/2)-1)

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: lim(x->0)(x2^x-x)/(1-cosx)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Evaluate: lim(x->0)(e^x+e^(-x)-2)/(x^2)

    Text Solution

    |

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

    Text Solution

    |

  13. Evaluate: ("lim")(xtooo)x^(1/x)

    Text Solution

    |

  14. The value of lim(x->pi)(1+cos^3x)/(sin^2x) is (a)1/3 (b) 2/3 ...

    Text Solution

    |

  15. Evaluate: underset(x rarr 0)("lim") ((729)^x-(243)^x-(81)^x+9^x+3^x-1...

    Text Solution

    |

  16. If f(x)=(3x^2+a x+a+1)/(x^2+x-2), then which of the following can be c...

    Text Solution

    |

  17. Evaluate underset(ntooo)lim(-1)^(n-1)sin(pisqrt(n^(2)+0.5n+1)),"where ...

    Text Solution

    |

  18. ("lim")(ntooo)1/(1+nsin^2n x) is equal to (a)-1 (b) 0 (c) 1 (d) ...

    Text Solution

    |

  19. Let the sequence ltb(n)gt of real numbers satisfy the recurrence relat...

    Text Solution

    |

  20. Which of the following true ({.} denotes the fractional part of the ...

    Text Solution

    |