Home
Class 12
MATHS
The value of (lim)(x->oo)2/x"log"(1+x) i...

The value of `(lim)_(x->oo)2/x"log"(1+x)` is equal to............

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVE

    BANSAL|Exercise All Questions|376 Videos
  • INTEGRALS

    BANSAL|Exercise All Questions|111 Videos

Similar Questions

Explore conceptually related problems

(lim)_(x->\ oo)(x/(1+x))^x equals

The value of lim_(x rarr oo)x^(2)ln(x cot^(-1)x) is

lim_(x->oo) cos log((x-1)/(x))

the value of lim_(x rarr e)(log x-1)/(x-e) equals to

For the curve represented implicitly as 3^x-2^y=1 , the value of ("Lim")_(x->oo)((dy)/(dx)) is equal to (a) 1 (b) equal to 0 (c) equal to (log)_2 3 (d) non existent

The value of lim_(x rarr oo)(x^(-4)(ln x)^(10)) is

The value of lim_(x rarr oo)[((x+1)^(2)-1)/(x)] is

The value of lim_(x rarr oo)[((x+1)^(2)-1)/(x)] is

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. (lim)(x->-2)(sin^(-1)(x/4)\ )/(x^2+2x) is equal to...............

    Text Solution

    |

  2. If (lim)(x->0)(log(3+x)-"log"(3-x))/(x^2-9)="k", then the value of...

    Text Solution

    |

  3. The value of (lim)(x->oo)2/x"log"(1+x) is equal to............

    Text Solution

    |

  4. The value of lim(x->0^+) x^m (logx)^n, m,n in N is

    Text Solution

    |

  5. lim(n->oo) 1/sqrt(n^2)+1/sqrt(n^2+1)+1/sqrt(n^2+2)+.....1/sqrt(n^2+2n)...

    Text Solution

    |

  6. Using Sandwich theorem, evaluate lim(n->oo)(1/(1+n^2)+1/(2+n^2)+.........

    Text Solution

    |

  7. lim(hrarr0)(sin(pi/3+4h)-4sin(pi/3+3h)+6sin(pi/3+2h)-4sin(pi/3+h)+sinp...

    Text Solution

    |

  8. Evaluate the following limits: lim(xto0)(sin4x)/(6x)

    Text Solution

    |

  9. Evaluate the following limit: (lim)(x->0)(e ^(x^2)-3^(3x))/(sin((x^2...

    Text Solution

    |

  10. lim(x->-oo)((3x^4+2x^2)sin(1/x)+|x|^3+5)/(|x|^3+|x|^2+|x|+1)

    Text Solution

    |

  11. Evaluate the following limit: (lim)(x->1/(sqrt(2)))(cos^(-1)(2xsqrt...

    Text Solution

    |

  12. (lim)(xvec-7)([x]^2+15[x]+56)/("sin"(x+7)"sin"(x+8))= (where [.] denot...

    Text Solution

    |

  13. Evaluate the following limit: (lim)(x->(3pi)/4)(1-tan3x)/(1-2cos^2x)

    Text Solution

    |

  14. Evaluate: ("lim")(nvec0)8/(x^8){1-cos(x^2)/2-cos(x^2)/4+cos(x^2)/2cos(...

    Text Solution

    |

  15. Evaluate the limit: ("lim")(xvec1)(sumk=1 100 x^k-100)/(x-1)

    Text Solution

    |

  16. Evaluate the following limit: (lim)(x->1)(x^3+x^2-2)/("sin"(x-1))

    Text Solution

    |

  17. Evaluate the limit if exists, lim(x->1)[{ln(1+x)-ln2}{3.4^[x-1]-3x}]...

    Text Solution

    |

  18. The value of ("lim")(xvec1)(p/(1-x^p)-q/(1-x^q)),p ,q , in N , equal ...

    Text Solution

    |

  19. let {an},{bn},{cn} be sequences such that (1) an+bn+cn=2n+1 , (2) anbn...

    Text Solution

    |

  20. lim(x->oo)(a(2x^3-x^2)+b(x^3+5x^2-1)-c(3x^3+x^2))/(2(5x^4-x)-b x^4+c(4...

    Text Solution

    |