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

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

(a)0

(b) 2

(c) 4

(d) `oo`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos
  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

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

lim_(n->oo){1/(1-n^2)+2/(1-n^2)+......n/(1-n^2)} is equal to (a) 0 (b) -1/2 (c) 1/2 (d) none of these

lim_(n->oo)n^2(x^(1/n)-x^(1/((n+1)))),x >0 , is equal to (a)0 (b) e^x (c) (log)_e x (d) none of these

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

Evaluate: lim_(n->oo)(4^n+5^n)^(1/n)

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

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

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

lim_(ntoinfty) (n/(n^2+1^2)+n/(n^2+2^2)+n/(n^2+3^2)+...+n/(5n^2)) is equal to

The value of lim_(n->oo)[(2n)/(2n^2-1)cos((n+1)/(2n-1))-n/(1-2n)dot(n(-1)^n)/(n^2+1)]i s (a) 1 (b) -1 (c) 0 (d) none of these

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. lim(x->oo)[sqrt(x+sqrt(x+sqrt(x)))-sqrt(x)] is equal to (a)0 (...

    Text Solution

    |

  2. Evaluate: lim(x->2)(sin(e^(x-2)-1))/(log(x-1))

    Text Solution

    |

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

    Text Solution

    |

  4. Evaluate: lim(x->0)(x2^x-x)/(1-cosx)

    Text Solution

    |

  5. lim(x->0)(x(e^x-1))/(1-cosx) is equal to

    Text Solution

    |

  6. Evaluate: lim(x->oo)[x(a^(1/x)-1)], a >1

    Text Solution

    |

  7. If f(x)=2/(x-3),g(x)=(x-3)/(x+4) , and h(x)=-(2(2x+1))/(x^2+x-12) then...

    Text Solution

    |

  8. Evaluate: lim(xto0) ((1-3^(x)-4^(x)+12^(x)))/(sqrt((2cosx+7))-3)

    Text Solution

    |

  9. underset(xtooo)lim((x^(3))/(3x^(2)-4)-(x^(2))/(3x+2))" is equal to "

    Text Solution

    |

  10. Evaluate: lim(x->0)(a^(tanx)-a^(sinx))/(tanx-sinx),a >0

    Text Solution

    |

  11. lim(x->oo)((2x+1)^(40)(4x-1)^5)/((2x+3)^(45)) is equal to (a)16 ...

    Text Solution

    |

  12. Evaluate: lim(x->a)("log"(x-a))/(log(e^x-e^a))

    Text Solution

    |

  13. The value of underset(xto2)lim(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)" is "

    Text Solution

    |

  14. Evaluate: lim(x->0)(e^x+e^(-x)-2)/(x^2)

    Text Solution

    |

  15. lim(n->oo)n^2(x^(1/n)-x^(1/((n+1)))),x >0 , is equal to (a)0 (b) e^x ...

    Text Solution

    |

  16. Evaluate: ("lim")(xtooo)x^(1/x)

    Text Solution

    |

  17. The value of lim(x->pi)(1+cos^3x)/(sin^2x) is (a)1/3 (b) 2/3 ...

    Text Solution

    |

  18. Evaluate: underset(x rarr 0)("lim") ((729)^x-(243)^x-(81)^x+9^x+3^x-1...

    Text Solution

    |

  19. If f(x)=(3x^2+a x+a+1)/(x^2+x-2), then which of the following can be c...

    Text Solution

    |

  20. Evaluate underset(ntooo)lim(-1)^(n-1)sin(pisqrt(n^(2)+0.5n+1)),"where ...

    Text Solution

    |