Home
Class 12
MATHS
lim(n -> oo) (((n+1)(n+2)(n+3).......2n)...

`lim_(n -> oo) (((n+1)(n+2)(n+3).......2n) / n^(2n))^(1/n)`is equal to

A

`18/(e^(4))`

B

`27/(e^(2))`

C

`9/(e^(2))`

D

`3log3-2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|9 Videos
  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|5 Videos
  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|26 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos
  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

lim_(n to oo)(n!)/((n+1)!-n!)

lim_(n->oo)(1/(n^2+1)+2/(n^2+2)+3/(n^2+3)+....n/(n^2+n))

lim_(n->oo)2^(n-1)sin(a/2^n)

lim_(n rarr oo)2^(1/n)

The value of lim_(n rarr infty) (1)/(n) {(n+1)(n+2)(n+3)…(n+n)}^(1//n) is equal to

lim_(nto oo) {(1)/(n+1)+(1)/(n+2)+(1)/(n+3)+...+(1)/(n+n)} is, equal to

The value of lim_(n->oo) [tan(pi/(2n)) tan((2pi)/(2n))........tan((npi)/(2n))]^(1/n) is

The value of lim_(n to oo)(1)/(n).sum_(r=1)^(2n)(r)/(sqrt(n^(2)+r^(2))) is equal to

The value of lim_(nrarroo)((1)/(2n)+(1)/(2n+1)+(1)/(2n+2)+…..+(1)/(4n)) is equal to

The value of lim_(n to oo)((n!)/(n^(n)))^((2n^(4)+1)/(5n^(5)+1)) is equal

ARIHANT MATHS ENGLISH-LIMITS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let alpha, beta in R such that lim(x ->0) (x^2sin(betax))/(alphax-sin...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. Let f: RvecR be a continuous odd function, which vanishes exactly at o...

    Text Solution

    |

  4. The largets value of non negative integer for which lim(x->1){(-a x+si...

    Text Solution

    |

  5. Let L=("lim")(xvec0)(a-sqrt(a^2-x^2)-(x^2)/4)/(x^4),a > 0. IfLi sfin i...

    Text Solution

    |

  6. underset(xto(pi)/(2))lim(cotx-cosx)/((pi-2x)^(3)) equals

    Text Solution

    |

  7. Let p=underset(xto0^(+))lim(1+tan^(2)sqrt(x))^((1)/(2x)). Then log(e)p...

    Text Solution

    |

  8. lim(n -> oo) (((n+1)(n+2)(n+3).......2n) / n^(2n))^(1/n)is equal to

    Text Solution

    |

  9. underset(xto0)lim(sin(picos^(2)x))/(x^(2)) is equal to

    Text Solution

    |

  10. lim(xto0)((1-cosx)(3+cosx))/(x tan 4x) is equal to

    Text Solution

    |

  11. If underset(xtooo)lim((x^(2)+x+1)/(x+1)-ax-b)=4, then

    Text Solution

    |

  12. Let alpha(a) and beta(a) be the roots of the equation ((1+a)^(1/3)-1)x...

    Text Solution

    |

  13. If ("lim")(xvec0)[1+x1n(1+b^2)]^(1/x)=2bsin^2theta,b >0,s mftheta in ...

    Text Solution

    |

  14. The value of lim(x->0)((sinx)^(1/x)+(1/x)^(sinx)) , where x >0, is (a)...

    Text Solution

    |

  15. lim(h->0) (f(2h+2+h^2)-f(2))/(f(h-h^2+1)-f(1)) given that f'(2)=6 and ...

    Text Solution

    |

  16. lim(x->0) (sin(nx)((a-n)nx – tanx))/x^2= 0, when n is a non-zero posit...

    Text Solution

    |

  17. The integer n for which ("lim")(xvec0)((cosx-1)(cosx-ehatx)/(x^n) is f...

    Text Solution

    |

  18. Let f: R->R be such that f(1)=3 and f^(prime)(1)=6. Then lim(x->0)((f...

    Text Solution

    |

  19. lim(x to oo) ((x-3)/(x+2)) is equal to :

    Text Solution

    |