Home
Class 12
MATHS
Draw the graph and find the points of di...

Draw the graph and find the points of discontinuity `f(x) = [2cos x]` , `x in [0, 2pi]` . ([.] represents the greatest integer function.)

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

Draw the graph and find the points of discontinuity f(x)=[2cos x],x in[0,2 pi]([.] represents the greatest integer function.)

Draw the graph and find the points of discontinuity for f(x)=[x^(2)-x-1],x in[-1,2] ([.] represents the greatest integer function).

Number of points of discountinuity of y=[sin x]x in[0,2 pi) where [.] represents greatest integer function

Draw the graph of y = [cos x], x in [0, 2pi], where [*] represents the greatest integer function.

Draw the graph and discuss the continuity of f(x)=[sin x+cos x],x in[0,2 pi), where [.] represents the greatest integer function.

Solve tan x=[x], x in (0, 3pi//2) . Here [.] represents the greatest integer function.

Draw the graph of y = [sin x], x in [0, 2pi], where [*] represents the greatest integer function.

Find the points of discontinuity of the function: f(x)=[[x]]-[x-1], where [.] represents the greatest integer function

Draw the graph of [y] = cos x, x in [0, 2pi], where [*] denotes the greatest integer function.

Draw the graph of |y|=[x] , where [.] represents the greatest integer function.

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Discuss the continuity of the function ([.] represents the greatest ...

    Text Solution

    |

  2. Discuss the continuity of the function ([.] represents the greatest ...

    Text Solution

    |

  3. Draw the graph and find the points of discontinuity f(x) = [2cos x] , ...

    Text Solution

    |

  4. If the function f(x)=[((x-2)^3)/a]sin(x-2)+acos(x-2),[dot] denotes the...

    Text Solution

    |

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

    Text Solution

    |

  6. Discuss the continuity of f(x)=sgn(2cosx-1)

    Text Solution

    |

  7. Discuss the continuity of f(x)=sgn(x^2-2x+3)

    Text Solution

    |

  8. If f(x)=sgn(2sinx+a) is continuous for all x , then find the possible ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |