Home
Class 11
MATHS
(lim)(n->oo)(1^2+2^2+3^2++n^2)/(n^3) is ...

`(lim)_(n->oo)(1^2+2^2+3^2++n^2)/(n^3)` is equal to a. 1 b . c. 1/3 d. 0

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTIONS TO 3-D COORDINATE GEOMETRY

    RD SHARMA ENGLISH|Exercise All Questions|113 Videos

  • LINEAR INEQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|163 Videos

Similar Questions

Explore conceptually related problems

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

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

lim_(n->oo)(n(2n+1)^2)/((n+2)(n^2+3n-1)) is equal to (a)0 (b) 2 (c) 4 (d) oo

lim_(n->oo)(-3n+(-1)^n)/(4n-(-1)^n) is equal to a. -3/4 b. 0 if n is even c. -3/4 if n is odd d. none of these

("lim")_(xvecoo)1/(1+nsin^2n x) i s equal to (a) -1 (b) 0 (c) 1 (d) oo

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

lim_(nto oo) (2^n+5^n)^(1//n) is equal to

lim_(ntooo) (n(2n+1)^(2))/((n+2)(n^(2)+3n-1))" is equal to "

lim_(n->oo) (1.2+2.3+3.4+....+n(n+1))/n^3

lim_(n->oo)1/nsum_(r=1)^(2n)r/(sqrt(n^2+r^2)) equals

RD SHARMA ENGLISH-LIMITS-All Questions
  1. Write the value of (lim)(x->-oo)(3x+sqrt(9x^2-x))

    Text Solution

    |

  2. Write the value of (lim)(x->pi//2)(2x-pi)/(cos x)

    Text Solution

    |

  3. (lim)(n->oo)(1^2+2^2+3^2++n^2)/(n^3) is equal to a. 1 b . c. 1/3 d. 0

    Text Solution

    |

  4. (lim)(x->0)(sin2x)/x is equal to a. 1 b . 1/2 c. 2 d. 0

    Text Solution

    |

  5. If f(x)=x sin(1/x), x!=0 then (lim)(x->0)f(x)=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. lim x→0 ( sin x ) / x is equal to a. 1 b . π c. x d. ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Evaluate the limit: ("lim")(h->0)[1/(8+h)^(1/3)-1/(2h)]

    Text Solution

    |

  13. (lim)(x->1)(sinpix)/(x-1) is equal to a. -pi b . pi c. -1/pi d. 1/pi

    Text Solution

    |

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

    Text Solution

    |

  15. If f(x)={xsin(1/x) ,\ x!=0, then (lim)(x->0)f(x) equals a. 1 b . 0 c. ...

    Text Solution

    |

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

    Text Solution

    |

  17. lim x→π/4 (4sqrt(2)-(cosx+sinx)^5)/(1−sin2x) is equal to

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. 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

    |