Home
Class 12
MATHS
(lim)(x->0)("ln"(sin2x))/(ln(s in\ x)) i...

`(lim)_(x->0)("ln"(sin2x))/(ln(s in\ x))` is equals to a. 0 b. 1 c. 2 d. non existent

Text Solution

AI Generated Solution

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 rarr0)(ln(sin3x))/(ln(sin x)) is equal to

lim_(x->0) (ln(2+x)+ln0.5)/x

lim_(x rarr0)(log(sin7x+cos7x))/(sin3x) equals.

lim_(x rarr0)(ln(1+2x)-2ln(1+x))/(x^(2)) is equal to 3 b.1 c.-1 d.0

lim_(x rarr0)(sin(x^(2)))/(ln(cos(2x^(2)-x))) is equal to

lim_(x rarr0)x log(sin x)

("Lim")_(x->0^+)1/((1+"c o s e c"x)^(1/(ln(sinx)))) equals

lim_(xto0) (ln(2+x^(2))-ln(2-x^(2)))/(x^(2)) is equal to

(lim_(x rarr0)(sin2x)/(x) is equal to a.1b*1/2c.2d.0

lim_(x rarr0)(log(e^(x^(2)+2sqrt(x))))/(tan sqrt(x)) is equal to 0 b.1 c.2 d.e^(2)

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. (lim)(x->0)((cos x)^(1//3)-(cos x)^(1//2))/(sin^2x) equals a. 1/12 b. ...

    Text Solution

    |

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

    Text Solution

    |

  3. (lim)(x->0)("ln"(sin2x))/(ln(s in\ x)) is equals to a. 0 b. 1 c. 2 d. ...

    Text Solution

    |

  4. (lim)(x->0)(1^(cosec^2x)+2^(cosec^2x)+3^(cosec^2x)+...+100^(cosec^2...

    Text Solution

    |

  5. Evaluate : ("lim")(xvecpi/4)(1-cot^3x)/(2-cotx-cot^3x)

    Text Solution

    |

  6. Evaluate the following limit: (lim)(x->2)(2^x+2^(3-x)-6)/(2^(-x)-2^...

    Text Solution

    |

  7. Evaluate the following limit: (lim)(x->9)(3-sqrt(x))/(4-sqrt(2x-2))

    Text Solution

    |

  8. lim(n->oo)(sqrt(n^3-2n^2+1)+3sqrt(n^4+1) 3)/(4sqrt(n^6+6n^5+2)- 5sqrt(...

    Text Solution

    |

  9. Evaluate the following limit: (lim)(x->+-oo)(sqrt(x^2-2x-1)-sqrt(x^...

    Text Solution

    |

  10. Evaluate the following limit: (lim)(x->oo)sqrt(x^3+3x^2)-sqrt(x^2-2...

    Text Solution

    |

  11. Evaluate the following limit: (lim)(x->1)((2x-3)(sqrt(x)-1))/(3x^2-3x-...

    Text Solution

    |

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

    Text Solution

    |

  13. Evaluate the limit: ("lim")(xvecoo)[sqrt(a^2x^2+a x+1)-sqrt(a^2x^2+1)]

    Text Solution

    |

  14. Evaluate the limit: ("lim")(x rarr a)(sqrt(3x-a)-sqrt(x+a))/(x-a)

    Text Solution

    |

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

    Text Solution

    |

  16. Evaluate: lim(x->oo) (x+7sinx)/(-2x+13) using sandwich theorem.

    Text Solution

    |

  17. If [dot] denotes the greatest integer function, then find the value of...

    Text Solution

    |

  18. Evaluate : ("lim")(xrarroo) 1/(1+n^2)+1/(2+n^2)+...+n/(n+n^2)

    Text Solution

    |

  19. Evaluate the following limit bases on Sandwich theorem: If 4x-9lt=f...

    Text Solution

    |

  20. Evaluate the following limit bases on Sandwich theorem: 2xlt=g(x)lt...

    Text Solution

    |