Home
Class 12
MATHS
Discuss the continuity of f(x)=("lim")(n...

Discuss the continuity of `f(x)=("lim")_(nvecoo)cos^(2n)xdot`

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

Discuss the continuity of f(x) =[x]

Discuss the continuity of f(x)=lim_(n rarr oo)cos^(2n)x

Discuss the continuity of f(x)=sinxcosx

Discuss the continuity of f(x)=sin|x| .

Discuss the continuity of f(x)=sinx+cosx

Discuss the continuity of f(x)=sinx-cosx

Discuss the continuity of f(x) = tan^(-1)x

Discuss the continuity of f(x)=lim_(n rarr oo)(x^(2n)-1)/(x^(2n+1))

Discuss the continuity of f(x)=sgn(x^(3)-x)

Discuss the continuity of f(x)=sgn(2cos x-1)

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. If f(x)=sgn(2sinx+a) is continuous for all x , then find the possible ...

    Text Solution

    |

  2. Discuss the continuity of f(x)=(lim)(nvecoo)(x^(2n)-1)/(x^(2n)+1)

    Text Solution

    |

  3. Discuss the continuity of f(x)=("lim")(nvecoo)cos^(2n)xdot

    Text Solution

    |

  4. Discuss the continuity of the following function f(x)={1,\ if\ x\ i ...

    Text Solution

    |

  5. Find the value of x where f(x)={x ,\ if\ x\ r a t ion a l1-x ,\ if\ x\...

    Text Solution

    |

  6. If f(x)=(x+1)/(x-1)a n dg(x)=1/(x-2),t h e n discuss the continuity ...

    Text Solution

    |

  7. Find the value of x in [1,3] where the function [x^2+1]([dot] represen...

    Text Solution

    |

  8. Discuss the continuity of f(x)=[tan^(-1)x]([dot] represents the greate...

    Text Solution

    |

  9. Discuss the continuity of f(x)={cot^(-1)x]({dot} represents the fracti...

    Text Solution

    |

  10. Discuss the continuity of f(x) in [0, 2], where f(x)=(lim)(n->oo)(s...

    Text Solution

    |

  11. Discuss the continuity of f(x)={x^2,xi sr a t ion a l-x^2,xi si r r a...

    Text Solution

    |

  12. If y=1/(t^2+t-2),w h e r et=1/(x-1), then find the number of points wh...

    Text Solution

    |

  13. Proved that: f(x)=[x\ if\ x in Q0\ if\ x !in Q\ is continuous only ...

    Text Solution

    |

  14. Proved that: f(x)=[x\ if\ x in Q-x\ if\ x !in Q\ is continuous only...

    Text Solution

    |

  15. Proved that: f(x)=[x\ if\ x in Q1-x\ if\ x !in Q\ is continuous onl...

    Text Solution

    |

  16. Find the left and right hand derivative of the following function a...

    Text Solution

    |

  17. Find the left and right hand derivative of the following function a...

    Text Solution

    |

  18. Find the left and right hand derivative of the following function a...

    Text Solution

    |

  19. If f(x) = {{:(|1-4x^(2)|",",0 le x lt 1),([x^(2)-2x]",",1 le x lt 2):}...

    Text Solution

    |

  20. If f(x)={a x+b ,\ xlt=-1a x^3+x+2,\ x > -1 is differentiable for all...

    Text Solution

    |