Home
Class 11
MATHS
Evaluate ("lim")(x->0) (sinx-2)/(cosx-1)...

Evaluate `("lim")_(x->0)` `(sinx-2)/(cosx-1)`

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)((sinx)/x)^(((sinx)/(x-sinx)))

Evaluate lim_(xto0) (sinx-x)/(x^(3)).

Evaluate: lim_(x->0)(x2^x-x)/(1-cosx)

Evaluate: lim_(x->0)(cosx)^(cotx)

Evaluate: lim_(x rarr 0) (e^(sinx)-1)/(x)

Evaluate : lim_(xrarr0)(x-sinx)/x^3

Evaluate: lim_(x->0)(e^(x^2)-cosx)/(x^2)

Evaluate: lim_(x->0)(e^(sinx)-(1+sinx))/({tan^(-1)(sinx)}^2)

Evaluate: lim_(xto0)(sinx+cosx)^(1//x)

Evaluate lim_(x to 0) (sinx+log(1-x))/(x^(2)).

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. If y=2^(-2^((1/(1-x))) , then find lim(x->1^+)y

    Text Solution

    |

  2. Let f(x)={1+(2x)/a ,0lt=x<1 and ax ,1lt=x<2 If lim(x->1)f(x) exists ,...

    Text Solution

    |

  3. Evaluate ("lim")(x->0) (sinx-2)/(cosx-1)

    Text Solution

    |

  4. lim(xrarr0)sin(picos^2x)/x^2 is equal to :

    Text Solution

    |

  5. Evaluate lim(x->0^-) (x^2-3x+2)/(x^3-2x^2)

    Text Solution

    |

  6. For x in R, lim(xrarroo)((x-3)/(x+2))^x is equal to

    Text Solution

    |

  7. Evaluate lim(n-&gt;oo) [sum(r=1)^n1/2^r] , where [.] denotes the gre...

    Text Solution

    |

  8. lim(n->oo){1/(1-n^2)+2/(1-n^2)+......n/(1-n^2)} is equal to (a) 0...

    Text Solution

    |

  9. Evaluate lim(x->(5pi)/4) [sinx+cosx], where [.] denotes the greatest i...

    Text Solution

    |

  10. If G(x) = -sqrt(25-x^2) then lim(x to 1) (G(x)-G(1))/(x-1) = ?

    Text Solution

    |

  11. Evaluate the left-and right-hand limits of the function defined by f(...

    Text Solution

    |

  12. If f(x)=sqrt((x-sinx)/(x+cos^2x)), then lim(x rarr infty)f(x) is

    Text Solution

    |

  13. Evaluate the right hand limit and left hand limit of the function f(x)...

    Text Solution

    |

  14. If lim(x->a)[f(x)g(x)] exists, then both lim(xtoa)f(x) and lim(x->a)g(...

    Text Solution

    |

  15. If alpha1, ,alpha2,.... ,alphan are the roots of equation x^n+n a x-b...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |