Home
Class 11
MATHS
If Lt(x to 0) [1+x log(1+b^(2))]^(1//x)=...

If `Lt_(x to 0) [1+x log(1+b^(2))]^(1//x)=2b sin^(2)theta, b gt 0 and theta in (-pi,pi]` then `theta=`

A

`+-pi//2`

B

`+-pi//4`

C

`+-pi//6`

D

`+-pi//3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    AAKASH SERIES|Exercise EXERCISE-II|100 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos

  • LOCUS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

Solve sin 5 theta = cos 2 theta ,0 < theta < pi .

If cos h x=(sqrt(14))/(3),sin h x = cos theta and -pi lt theta lt -(pi)/(2) , then sin theta=

Lt_(theta to pi//2) (1-sin theta)/((pi)/(2))- theta cos theta=

Solve sin theta + sin 5 theta = sin 3 theta , 0 lt theta lt pi .

If sin 7theta + sin 4theta + sin theta = 0, 0 le theta le pi//2 , then theta =

AAKASH SERIES-LIMITS-PRACTICE EXERCISE
  1. underset(x to 0)"Lt" {1/x-(log(1+x))/(x^(2))}=

    Text Solution

    |

  2. Lim(x to 0) [(1)/(h""^(3)sqrt((8+h)))-(1)/(2h)]=

    Text Solution

    |

  3. If Lt(x to 0) [1+x log(1+b^(2))]^(1//x)=2b sin^(2)theta, b gt 0 and th...

    Text Solution

    |

  4. Lt(x to a) (2-(x)/(a))^("tan"(pix)/(2a))=

    Text Solution

    |

  5. Lt(x to oo) (((n)/(n+1))^(lambda)+"tan"(1)/(n))^(n)=

    Text Solution

    |

  6. Let f:R to R be such that f(x)=3 and f'(1)=6 then Lt(x to 0)((f(1+x))...

    Text Solution

    |

  7. If underset(x to 0)"Lt" (1+a/x+b/x^(2))^(2x)=e^(2), then the value of ...

    Text Solution

    |

  8. Lt(x to 0)(1+3sin^(2) sqrt(x))^(1//5x)=

    Text Solution

    |

  9. Lt(x to 0) (e^(1//x))/(1+e^(1//x))=

    Text Solution

    |

  10. f(x)={{:(x^(2),if x le 1),(x, if 1 lt x le 2),(x-3,if x gt 2):} then L...

    Text Solution

    |

  11. Lt(x to 0)(cotx)^(sinx)=

    Text Solution

    |

  12. Lt(x to 0)log(cos x//2)cosx=

    Text Solution

    |

  13. Lim(x to 0){"cos"((x)/(2))cos((x)/(4))cos((x)/(8))....cos((x)/(2^(n)))...

    Text Solution

    |

  14. If [x] denotes greatest integer function then Lt(x to0)(sin[cosx])/(1+...

    Text Solution

    |

  15. Lt(x to 0)(sin^(-1)x+3x)/(tanx+2sin((1)/(2)sin^(-1)x)[3-4"sin"^(2)((1)...

    Text Solution

    |

  16. Lt(x to 0)((a(1)^(x)+a(2)^(x)+...+a(n)^(x))/(n))^(1//x)=

    Text Solution

    |

  17. Statement-I Lt(x to0)(tan{[-pi^(2)]x^(2)}-[pi^(2)]x^(2))/(sin^(2)x)=0 ...

    Text Solution

    |

  18. If y=(1)/(2)sin^(-1)((2xy)/(x^(2)+y^(2))) and y lt x then Lt(y to 0)=

    Text Solution

    |

  19. Let {x} denote the fractional part of x. then Lt(x to 0)({x})/(tan{x})...

    Text Solution

    |

  20. f(x)={{:(2px+3,if x lt 1),(1-px^(2), if x gt 1):} and let Lt(x to 1)f...

    Text Solution

    |