Home
Class 11
MATHS
Evaluate underset(xto0)lim(sin^(-1)x-tan...

Evaluate `underset(xto0)lim(sin^(-1)x-tan^(-1)x)/(x^(3)).`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_(xto0)(sin^(-1)x-tan^(-1)x)/(x^(3)).

Evaluate : underset(xrarr0)"lim"(sin^(-1)x)/(2x)

Evaluate underset(xto1)lim(a^(x-1)-1)/(sinpix).

Evaluate underset(xto0)lim(e^(x)-e^(xcosx))/(x+sinx).

underset(xrarr 0)"lim"(sin^(-1)x)/(x) =

Evaluate underset(xto0)lim(5sinx-7sin2x+3sin3x)/(x^(2)sinx).

underset(xto0)lim(sin^(-1)x)/(x) is equal to -

Evaluate : underset(xrarr1)"lim"(1-x)"tan"(pix)/(2)

underset (xto0) lim(sqrt(1-x^2)-sqrt(1+x^2))/x^2

underset(xrarr0)(lim)[(sin^(-1)x)/(tan^(-1)x)]= (where [.] denotes the greatest integer function)

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. If alpha1, ,alpha2,.... ,alphan are the roots of equation x^n+n a x-b...

    Text Solution

    |

  2. Evaluate : lim(x to 0)(xtan2x-2x tanx)/(1-cos2x)^2

    Text Solution

    |

  3. Evaluate underset(xto0)lim(sin^(-1)x-tan^(-1)x)/(x^(3)).

    Text Solution

    |

  4. lim(x->1)sqrt(1-cos2(x-1))/(x-1) a. exists and its equals sqrt(2) ...

    Text Solution

    |

  5. lim(x->0)sin^2(pi/(2-p x))^(sec^2((pi/(2-px)))

    Text Solution

    |

  6. The value of lim(x->0)(sqrt(1/2(1-cos2x)))/x i s (a)1 (b)-1 ...

    Text Solution

    |

  7. Evaluate: lim(x->7/2)(2x^2-9x+8)^(cot(2x-7))

    Text Solution

    |

  8. If f(x)={:(sin[x]","" ""for "[x]ne0),(0","" ""for "[x]=0):}where [x...

    Text Solution

    |

  9. Let f(a)=g(a)=k and their n t h derivatives exist and are not equal fo...

    Text Solution

    |

  10. If f(x)={(x^nsin(1/(x^2)),x!=0), (0,x=0):}, (n in I), then (a) lim(...

    Text Solution

    |

  11. Let f(x) be a twice-differentiable function and f"(0)=2. The evaluate:...

    Text Solution

    |

  12. The value of lim(x to1)(p/(1-x^p)-q/(1-x^q)),p ,q , in N , equal (a)(...

    Text Solution

    |

  13. Evaluate : lim(x->0)(log)(tan^2x)(tan^2 2x)dot

    Text Solution

    |

  14. lim(x->0)(sin(x^2))/(1n(cos(2x^2-x))) is equal to (a) 2 (b) -2 ...

    Text Solution

    |

  15. If the graph of the function y=f(x) has a unique tangent at the point ...

    Text Solution

    |

  16. underset(xto-1)lim(1)/(sqrt(|x|-{-x})) (where {x} denotes the fraction...

    Text Solution

    |

  17. Evaluate: lim(x->0)x^m(logx)^n ,m , n in Ndot

    Text Solution

    |

  18. Let f(x)=("lim")(nvecoo)1/((3/pitan^(-1)2x)^(2n)+5)dot Then the set of...

    Text Solution

    |

  19. Evaluate (lim(x->oo))(x(log)e{(sin(a+1/x))/(sina)}), 0 lt a lt pi/2

    Text Solution

    |

  20. lim(x->0) {(1+x)^(2/x)} (where {.} denotes the fractional part of x ...

    Text Solution

    |