Home
Class 12
MATHS
Evaluate: ("lim")(n rarr oo)[(n !)/(n^n...

Evaluate: `("lim")_(n rarr oo)[(n !)/(n^n)]^(1//n)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE ENGLISH|Exercise Jee Advanced (Single|1 Videos
  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise MATRIX-MATCH TYPE|3 Videos

Similar Questions

Explore conceptually related problems

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

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

Lt_(n rarr oo)(1+(1)/(n))^(n)

Lt_(n rarr oo)(1+(1)/(n))^(n)

Evaluate: ("lim")_(n->oo)(4^n+5^n)^(1/n)

Evaluate ("lim")_(n rarr oo)sum_(k=1)^nk/(n^2+k^2)

Evaluate: ("lim")_(n rarr oo)(1/(sqrt(4n^2-1))+1/(sqrt(4n^2-2^2))++1/(sqrt(3n^2)))

Evaluate: ("lim")_(n→oo)(n^p sin^2(n !))/(n+1)

lim_(n rarr oo)3^(1/n) equals

lim_(n rarr oo)n[sqrt(n+1)-sqrt(n))]

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. The integral int0^(1. 5)[x^2]dx ,w h e r e[dot] denotoes the greatest ...

    Text Solution

    |

  2. Evaluate the following limit: lim(nto oo)(sum(r=1)^(n) sqrt(r)sum(r=...

    Text Solution

    |

  3. Evaluate: ("lim")(n rarr oo)[(n !)/(n^n)]^(1//n)

    Text Solution

    |

  4. If the value of the definite integral int0^1 "^(207)C7x^(200)(1-x)^7dx...

    Text Solution

    |

  5. Evaluate: int(-1)^0(dx)/(x^2+2x+2)

    Text Solution

    |

  6. If fa n dg are continuous function on [0,a] satisfying f(x)=f(a-x)a ...

    Text Solution

    |

  7. If f(x)=min(|x|,1-|x|,1/4)AAx in R , then find the value of int(-1)^1...

    Text Solution

    |

  8. Evaluate: int0^pie^(|cosx|)(2sin(1/2cosx)+3cos(1/2cosx))sinxdxdot

    Text Solution

    |

  9. Evaluate: inta^b x^3dx

    Text Solution

    |

  10. Find the value of int(-pi/3)^(pi/3)(pi+4x^3)/(2-cos(|x|+pi/3))dx

    Text Solution

    |

  11. Evaluate: ("lim")(n rarr oo)(1/(sqrt(4n^2-1))+1/(sqrt(4n^2-2^2))++1/(s...

    Text Solution

    |

  12. If y(x)=int(pi^2/16)^(x^2)(cosxcossqrt(theta))/(1+sin^2sqrt(theta))d t...

    Text Solution

    |

  13. Evaluate: ("lim")(nvecoo)[1/(n^2)sec^2 1/(n^2)+2//n^2sec^2 4/(n^2)++1/...

    Text Solution

    |

  14. For x >0,l e tf(x)=int1^x(logt)/(1+t)dtdot Find the function f(x)+f(1/...

    Text Solution

    |

  15. Evaluate ("lim")(n rarr oo)sum(k=1)^nk/(n^2+k^2)

    Text Solution

    |

  16. If" f, is a continuous function with int0^x f(t) dt->oo as |x|->ooth...

    Text Solution

    |

  17. Prove that pi/6 lt int0^1(dx) (sqrt(4-x^2-x^3)) lt pi/(4sqrt(2))

    Text Solution

    |

  18. Let f:[-1,2]->[0,oo) be a continuous function such that f(x)=f(1-x)fo...

    Text Solution

    |

  19. Prove that int0^x e^(x t-t^2) dt=e^(x^(2)/4)int0^x e^-(t^(2)/4)dt

    Text Solution

    |

  20. If alpha=int0^1(e^(9x+3tan^(-1)x))((12+9x^2)/(1+x^2))dx where tan^(-1)...

    Text Solution

    |