Home
Class 12
MATHS
The function f(x) = [x] cos((2x-1)/2) p...

The function `f(x) = [x] cos((2x-1)/2) pi` where [ ] denotes the greatest integer function, is discontinuous

A

all x

B

all integer points

C

no x

D

x which is not integer

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Exercise (Level 2 Single Correct Answer)|25 Videos
  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Exercise (Numerical Answer)|16 Videos
  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Exercise (Single Correct Answer)|10 Videos
  • JEE (MAIN) QUESTIONS WITH SOLUTIONS MATHEMATICS (7 TH JAN-MORNING )

    MCGROW HILL PUBLICATION|Exercise QUESTIONS|25 Videos
  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=[x]cos((2x-1)/(2))pi where I l denotes the greatest integer function,is discontinuous

If f:R to R is function defined by f(x) = [x]^3 cos ((2x-1)/2)pi , where [x] denotes the greatest integer function, then f is :

The function f(x)=[x^(2)]+[-x]^(2) , where [.] denotes the greatest integer function, is

If f(x)=[2x], where [.] denotes the greatest integer function,then

The range of function f(x)=[[x]-x]+sin^(2)x , where [.] denotes the greatest integer function, is.

If f: R to R is function defined by f(x) = [x-1] cos ( (2x -1)/(2)) pi , where [.] denotes the greatest integer function , then f is :

Number of points of discontinuity of the function f(x)=[(6x)/(pi)]cos[(3x)/(pi)] where [y] denotes the greatest integer function less than or equal to y) in the interval [0,(pi)/(2)] is

MCGROW HILL PUBLICATION-LIMITS AND CONTINUITY-Exercise (Level 1 Single Correct Answer)
  1. If x^(2)+2x^(3)<=x+f(x)<=x^(3)-2x^(3) for value of x near 0 then lim(x...

    Text Solution

    |

  2. If f(x)=(sin^(-1)([x]+x))/"[x]" , [x] ne 0 =0, [x] = 0 where [x] de...

    Text Solution

    |

  3. The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greate...

    Text Solution

    |

  4. Let f(y)="sin" (y-a)/2 "tan" (piy)/(2a), y ne a. The value of f(a) so ...

    Text Solution

    |

  5. Let f(x)=(1+sinx)^"cosec x" , the value of f(0) so that f is a continu...

    Text Solution

    |

  6. Let f(x)={{:(x+1,","x le 1),(3-ax^2,","x gt 1):} The value of a so tha...

    Text Solution

    |

  7. Let f(x)=[x^(2)+1],([x] is the greatest integer less than or equal to ...

    Text Solution

    |

  8. The function y=sqrt(1/2 -"cos"^2 x) is not continuous at

    Text Solution

    |

  9. The number of points at which the function f(x) = 1/(x-[x]) ([.] denot...

    Text Solution

    |

  10. Let f(x)=x, x in Q , f(x)=1-x , x in R ~ Q then f is continuous only a...

    Text Solution

    |

  11. lim(x to 0) (x tan 2x -2x tan x)/((1- cos 2x)^(2)) equal

    Text Solution

    |

  12. Let f(x)=sqrt(1-cos (x-2))/(x-2), x ne 2. The lim(x to 2) f(x)

    Text Solution

    |

  13. The value of f(0) so that the function f(x) = (sqrt(1+x)-(1+x)^(1/3)...

    Text Solution

    |

  14. The set of all points of continuous of fofof, where f(x) = sgn(x) is

    Text Solution

    |

  15. The set of all points of discontinuity of f(x)=(x-1)/(x^3+6x^2+11x+6)

    Text Solution

    |

  16. The number of continuous functions on R which satisfy (f(x))^2=x^2 for...

    Text Solution

    |

  17. The value of lim(x to 0) (sqrt(x^2+1)-1)/(sqrt(x^2+16)-4) is

    Text Solution

    |

  18. lim(xtoa^(-))(sqrt(x-b)-sqrt(a-b))/((x^(2)-a^(2))),(agtb) is

    Text Solution

    |

  19. The value of lim(x to oo) (sqrt(x^2+1)-sqrt(x^2-1)) is

    Text Solution

    |

  20. lim(x->oo)x^(3/2)(sqrt(x^3+1)-sqrt(x^3-1))

    Text Solution

    |