Home
Class 12
MATHS
The value of lim(x to oo) ((n!)^((1)/(n)...

The value of `lim_(x to oo) ((n!)^((1)/(n)))/(n)` is

A

1

B

`(1)/(e^(2))`

C

`(1)/(2e)`

D

`(1)/(e)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2011

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2013

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(n to oo) [(n!)/(n^(n))]^((1)/(n)) is equal to -

The value of Lim_(n to oo) n!/((n+1)!-n!)

The value of underset(n to oo)lim((n!)^((1)/(n)))/(n) is -

The value of lim_(xtooo) ((2^(x^(n)))e^((1)/(x))-(3^(x^(n)))e^((1)/(x)))/(x^(n)) (where n in N ) is

The value of lim_(ntooo)(e^(n))/((1+(1)/(n))^(n^(2))) is

The value of lim_(ntooo) [(1)/(n)+(e^(1//n))/(n)+(e^(2//n))/(n)+...+(e^((n-1)//n))/(n)] is

If I_(n)=int_(0)^((pi)/(4)) tan^(n)x dx , then the value of lim_(n to oo) n(I_(n)+I_(n-2)) is -

The value of lim_(n to oo)sum_(r=1)^(n)(1)/(n)e^((r)/(n)) is -

The value of lim_(n to oo) (1^(p)+2^(p)+3^(p)+…+n^(p))/(n^(p+1)) is -

The value of lim_(n to oo) sum_(r=1)^(n)(r^(2))/(r^(3)+n^(3)) is -

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2012-MULTIPLE CHOICE QUESTIONS
  1. The coefficient of x^(10) in the expansion of 1+(1+x)+...+(1+x)^(20) i...

    Text Solution

    |

  2. Examine the consistency of the system of equations x+ y +z=1 2x+...

    Text Solution

    |

  3. Let A and B be two events with P(A^(C))=-0.3, P(B)=0.4 and )P(A nn B^(...

    Text Solution

    |

  4. Let p,q,r be the altitudes of a triangle with area S and perimeter 2t....

    Text Solution

    |

  5. Let C(1) and C(2) denote the centres of the circles x^(2)+y^(2)=4 and ...

    Text Solution

    |

  6. A straight line through the point of intersection of the lines x+2y+4=...

    Text Solution

    |

  7. Let P and Q be the points on the parabola y^(2)=4x so that the lines ...

    Text Solution

    |

  8. The incentre of an equilateral triangle is (1,1) and the equation of o...

    Text Solution

    |

  9. The value of lim(x to oo) ((n!)^((1)/(n)))/(n) is

    Text Solution

    |

  10. The area of the region bounded by the curves y=x^(3), y=(1)/(x),x=2 is

    Text Solution

    |

  11. Let y be the solution of the differential equation x(dy)/(dx)=(y^(2))/...

    Text Solution

    |

  12. The area of the region bounded by the curves y=sin^(-1), x+x(1-x) and ...

    Text Solution

    |

  13. The value of the integral int(1)^(5)[|x-3|+|1-x|]dx is equal to

    Text Solution

    |

  14. If f(x) and g(x) are twice differentiable functions on (0,3) satisfyin...

    Text Solution

    |

  15. Let [x] denote the greates integer less than or equal to x, then the v...

    Text Solution

    |

  16. The points representing the complex number z for which arg ((z-2)/(z+2...

    Text Solution

    |

  17. Let a,b,c,p,q,r be positive real numbers such that a,b,c are in G.P an...

    Text Solution

    |

  18. Let S(k) be the sum of an infinite G.P series whose first is k and com...

    Text Solution

    |

  19. The quadratic equation 2x^(2)-(a^(3)+8a-1)x+a^(2)-4a=0 possesses roots...

    Text Solution

    |

  20. If log(e)(x^(2)-16) le log(e)(4x-11), then

    Text Solution

    |