Home
Class 11
MATHS
The value of lim(x->oo)(n !)/((n+1)!-(n)...

The value of `lim_(x->oo)(n !)/((n+1)!-(n)!)` is a. 1 b . -1 c. 0 d. none of these

Text Solution

Verified by Experts

`lim_(x->oo)(n !)/((n+1)!-(n)!)`
`=lim_(x->oo)(n !)/((n+1)(n!)-(n)!)`
`=lim_(x->oo)(n !)/(n!(n+1-1))`
`=lim_(x->oo) 1/n`
`=1/(oo)`
`=0`
Hence correct option is (c).
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTIONS TO 3-D COORDINATE GEOMETRY

    RD SHARMA|Exercise Solved Examples And Exercises|114 Videos

  • LINEAR INEQUATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|163 Videos

Similar Questions

Explore conceptually related problems

the value of lim_(x rarr oo)(n!)/((n+1)!-n!)

The value of lim_(n rarr oo)((1)/(2^(n))) is

The value of (lim)_(n rarr oo)((n+2)!+(n+1)!)/((n+2)!-(n+1)!) is a.1b*-1 c.0d .none of these

The value of lim_(n rarr oo) n[log(n+1)-logn] is

The value of lim_(x rarr oo)(1+(1)/(x^(n)))^(x),n>0 is

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

f(x)=(1n(x^2+e^x))/(1n(x^4+e^(2x)))dotT h e n lim_(x->oo)f(x) is equal to (a) 1 (b) 1/2 (c) 2 (d) none of these

The value of lim_ (n rarr oo) (n + 1) / (n ^ (2)) - :( 1) / (n)

lim_(n rarr oo)(1+(x)/(n))^(n)

The value of (lim)_(n rarr oo){(1+2+3++n)/(n+2)-(n)/(2)} is a.1b*-1c*1/2d* -1/2

RD SHARMA-LIMITS-All Questions
  1. If f(x)=x sin(1/x), x!=0 then lim(x->0)f(x)= a. 1 b . -1 c. 0 d. does...

    Text Solution

    |

  2. lim(x->0)(1-cos2x)/x is a. 1 b . 2 c. 4 d. 0

    Text Solution

    |

  3. lim(x->0)x/(tanx) is a. 1 b . 0 c. 4 d. not defined

    Text Solution

    |

  4. lim(x->oo)(sinx)/x equals a. 1 b . 0 c. oo d. does not exist

    Text Solution

    |

  5. lim(x->0)(sinx)/x

    Text Solution

    |

  6. lim(x->a)(x^n-a^n)/(x-a) is equal to a.n a^n b . n a^(n-1) c. n a ...

    Text Solution

    |

  7. lim(x->oo)(sqrt(x^2-1))/(2x+1) is equal to a.0 b . -1 c. 1//2 d. ...

    Text Solution

    |

  8. Evaluate the limit: ("lim")(hvec0)[1/(h8+h3)-1/(2h)]

    Text Solution

    |

  9. (lim)(x->1)(sinpix)/(x-1) is equal to -p c. -1/pi d. 1/pi

    Text Solution

    |

  10. (lim)(x->0)(sqrt+x)-1)/x is equal to a. 1 b . 0 c. 2 d. 1/2

    Text Solution

    |

  11. If f(x)={xsin1/x ,\ x!=0 0,\ \ \ \ \ \ \ \ \ \ x=0 , then lim(x->0)f...

    Text Solution

    |

  12. (lim)(n->oo/((n+1)!+n !) is equal to a. 1 b . 0 c. 2 d. 1/2

    Text Solution

    |

  13. lim(x->oo)a^xsin(b/(a^x)),\ a , b >1 is equal to a.b b . a c. a(log...

    Text Solution

    |

  14. lim(theta->pi//2)(1-sintheta)/((pi//2-theta)costheta) is equal to a. 1...

    Text Solution

    |

  15. The value of lim(x->pi//2)(s e c x-t a n x) is a. 1 b . 0 c. 2 d. -1

    Text Solution

    |

  16. The value of lim(x->oo)(n !)/((n+1)!-(n)!) is a. 1 b . -1 c. 0 d. none...

    Text Solution

    |

  17. The value of lim(n->oo)((n+2)!+(n+1)!)/((n+2)!-(n+1)!) is a. 1 b . -1...

    Text Solution

    |

  18. The value of lim(n->oo){(1+2+3++n)/(n+2)-n/2}\ is a. 1 b . -1 c. 1/2 ...

    Text Solution

    |

  19. lim(x->oo)(|x|)/x is equal to a. 1 b . -1 c. 0 d. none of these

    Text Solution

    |

  20. lim(x->0)(|sin x|)/x is a. 1 b . -1 c. 0 d. none of these

    Text Solution

    |