Home
Class 11
MATHS
Lt(x to 0) (1)/(x) sin^(-1)((2x)/(1+x^(2...

`Lt_(x to 0) (1)/(x) sin^(-1)((2x)/(1+x^(2)))=`

A

2

B

`1//2`

C

`1//3`

D

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

Lt_(x to (1)/(2))((x)/(2x-1)-(2x)/(4x^(2)-1))=

Lt_(x to 0)x"sin"(1)/(x)=

Lt_(x to 0) (sin^(-1)x-tan^(-1)x)/(x^(3))=

Determine Lt_(x to 0)((1)/(sin^(2))x-(1)/(sin h^(2)x))(oo-oo "from")

Lt_(x to (1)/(2)) (sin^(-1)x-(pi)/(6))/(2x-1)=

Lt_(x to 0) (1)/(2) (sqrt(1-cos2x))/(x)=

Lt_(x to -oo) (x^(3)"sin"(1)/(x)+x)/(1+|x|^(2))=

Lt_(x to 0) ((sinx)/(x^(2))-(1)/(x))=

If x lt -1," then "2tan^(-1)x+sin^(-1)((2x)/(1+x^(2)))=

AAKASH SERIES-LIMITS-PRACTICE EXERCISE
  1. Lt(x to 0) {"cosec"^(3)x. cotx-2cot^(3)x."cosec"x+(cot^(4))/(secx)}=

    Text Solution

    |

  2. If 'alpha' is a repeated root of ax^(2)+bx+c=0 then Lt(x to alpha)(tan...

    Text Solution

    |

  3. Lt(x to 0) (1)/(x) sin^(-1)((2x)/(1+x^(2)))=

    Text Solution

    |

  4. Lt(x to 0)(1-cos(x^(0)))/(x^(2))=

    Text Solution

    |

  5. The correct match is

    Text Solution

    |

  6. Lt(x to 0) (sin(x^(0)))/(tanx^(0))=

    Text Solution

    |

  7. Lt(x to 0) ((cosx)^((1)/(2))-(cosx)^((1)/(3)))/(sin^(2)x)=

    Text Solution

    |

  8. If Lim(x to 0) (sin2x+asinx)/(x^(3))=b where a,b in R then (a,b)=

    Text Solution

    |

  9. Lt(x to 0) (a cosx+bx sin x-5)/(x^(4)) is finite then a =

    Text Solution

    |

  10. Lt(x to oo) 2^(x)sin((a)/(2^(x)))=

    Text Solution

    |

  11. Let f(2)=4 and f'(2)=4 then Lt(x to 2) (xf(2)-2f(x))/(x-2)=

    Text Solution

    |

  12. underset(x to oo)lim ((x+1)(2x+3))/((x+2)(3x+4))=

    Text Solution

    |

  13. Lim(x to oo) (px+q)/(qx+p)=l and Lim(x to 0)(px+q)/(qx+p)=m where p,q ...

    Text Solution

    |

  14. Lt(x to oo) (sqrt(3+9x^(2))+sqrt(4x^(2)-1))/(sqrt(1+16x^(2))-sqrt(9x^(...

    Text Solution

    |

  15. underset(x to oo)lim (sqrt(3x^(2)+5))/(5x+3)=

    Text Solution

    |

  16. If [x] is the greatest integer function, then underset (x to 2^+)lim...

    Text Solution

    |

  17. Lt(x to oo) (2x+7sinx)/(4x+2cosx)=

    Text Solution

    |

  18. Arrnge the following limits in the ascending order (a) Lt(x to oo)((...

    Text Solution

    |

  19. Evaluate the following limits : Lt(ntooo)(1^(3)+2^(3)+3^(3)+......+n...

    Text Solution

    |

  20. Lt(x to oo)((1+(1)/(2)+(1)/(4)+(1)/(8)+....+(1)/(2^(n)))/(1+(1)/(3)+(1...

    Text Solution

    |