Home
Class 12
MATHS
lim(x to oo) (( 1+x+x^(3)))/((ln x)^(3)...

`lim_(x to oo) (( 1+x+x^(3)))/((ln x)^(3))` is equal to

A

2

B

`e^(2)`

C

`e^(-2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|14 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE main (Archive)|51 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise LEVEL -1|134 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos
  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

Similar Questions

Explore conceptually related problems

lim_(x to oo) ((x^(2)+ 5x+3)/(x^(2)+x+3))^(x) is equal to

lim_(xto oo)(x/(1+x))^(x) is

The value of lim_(x to 0) (log(sin 5x + cos 5x))/(tan 3x) is equal to

lim_(x rarr oo)((log x)/(x^(n)))

lim_(x rarr oo){((log x)^(3))/(x)}

lim_(x->oo)((x^3)/(3x^2-4)-(x^2)/(3x+2)) is equal to (a) does not exist (b) 1//3 (c) 0 (d) 2/9

What does lim_(x to oo)((3x^(2)+4x+2)/(2x^(2)+x-5)) equal ?

lim_(xtooo) (x(logx)^(3))/(1+x+x^(2)) equals

lim_(x rarr oo)(log(1+x))/(x)

lim_(xrarr oo) (1-(4)/(x-1))^(3x-1) is equal to

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL 2
  1. If [.] denotes the greatest integer function then lim(x->oo)([x]+[2x]...

    Text Solution

    |

  2. ("lim")(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1))i se q u a lto ...

    Text Solution

    |

  3. lim(x to oo) (( 1+x+x^(3)))/((ln x)^(3)) is equal to

    Text Solution

    |

  4. int cot^6x cosec^2xdx

    Text Solution

    |

  5. underset(xtooo)lim(e^(1//x^(2))-1)/(2tan^(-1)(x^(2))-pi) is equal to

    Text Solution

    |

  6. lim(x->0) ((1+x)^(1/x)-e)/x is equal to

    Text Solution

    |

  7. lim(xto0)(((1+x)^(1//x))/e)^(1/(sinx)) is equal to

    Text Solution

    |

  8. lim(x->-oo)(x^5tan(1/(pix^2))+3|x^2|+7)/(|x^3|+7|x|+8) is equal to: a....

    Text Solution

    |

  9. Let f(x)=3x^10-7x^8+5x^6-21x^3+3x^2-7 , then the value of lim(h->0)...

    Text Solution

    |

  10. lim(x->a){[(a^(1/2)+x^(1/2))/(a^(1/4)-x^(1/4)))^(- 1)-(2(a x)^(1/4))/(...

    Text Solution

    |

  11. lim(xto1) (sum(r=1)^(n)x^(r)-n)/(x-1) is equal to

    Text Solution

    |

  12. Evaluate: ("lim")(n→oo)x[tan^(-1)((x+1)/(x+2))-tan^(-1)(x/(x+2))]

    Text Solution

    |

  13. If a(1)=1 and a(n+1)=(4+3a(n))/(3+2a(n)),nge1, show that a(n+2)gea(n+1...

    Text Solution

    |

  14. The value of lim(xto oo)(2x^(1//2)+3x^(1//3)+4x^(1//4)+....nx^(1//n)...

    Text Solution

    |

  15. if |x| <1 then (L t)(n->oo)(1+x)(1+x^2)(1+x^4)........(1+x^(2n))=

    Text Solution

    |

  16. Let a=min{x^(2)+2x+3,x epsilonR} and b=lim(x theta to 0)(1-cos theta)/...

    Text Solution

    |

  17. underset(xto0)lim(log(1+x+x^(2))+log(1-x+x^(2)))/(secx-cosx)=

    Text Solution

    |

  18. The value of lim(x->1) y^3/(x^3-y^2-1) as (x, y)-> (1, 0) along the ...

    Text Solution

    |

  19. If lim(x->0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must b...

    Text Solution

    |

  20. If f(x)={((tan^-1(x+[x]))/([x]-2x)[x]ne0,,),(0[x]=0,,):} where [x] den...

    Text Solution

    |