Home
Class 12
MATHS
The function f(x)=x-[x]" when x=2 is "...

The function `f(x)=x-[x]" when x=2 is "`

A

continuous

B

discontinuous

C

not determined

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2(Special Type Questions)|10 Videos

  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-3Match The Following|2 Videos

  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1B( One Sided Limits)|71 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

  • LINEAR PROGRAMMING [APPENDIX-2]

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise -1|33 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=x+[x]" at "x=1//2" is "

The period of the function f(x) = {(1",","when x is a rational"),(0",","when x is irrational"):} is

The range of the function f(x)=(2+x)/(2-x), x != 2 is

Statement I : The range of the function f(x)=(sin([x]pi))/(x^(2)+x+1) is {0} Statement II : The range of the function f(x)=(x-[x])/(1+x-[x]) is [0, 1/2) .

Range of the function f(x)=sqrt([x]-x) is

The function f(x)=cosx-2lambda x is monotonicallly decreasing when

The function f(x)=sqrt(2x-x^2) increase in

The function f(x)=x^x decrease on the interval

DIPTI PUBLICATION ( AP EAMET)-LIMITS AND CONTINUITY-Exercise 1C(Continuity)
  1. The function f(x)=x+[x]" at "x=1//2" is "

    Text Solution

    |

  2. The function f(x)=x+[x]" at "x=1//2" is "

    Text Solution

    |

  3. The function f(x)=x-[x]" when x=2 is "

    Text Solution

    |

  4. The function f(x)=(1+x)^(5//x), f(0)=e^(5)" at x =0 is "

    Text Solution

    |

  5. The function f(x)=(x tan 2x)/(sin 3x sin 5x)" for "x ne 0, f(0)=2//17"...

    Text Solution

    |

  6. The function f(x)=(cos 3x-cos 4x)/(x sin 2x)"for "x ne 0, f(0)=7//4"at...

    Text Solution

    |

  7. The function f(x)=(1-cos x)/(x^(2))" for "x ne 0, f(0)=1" at x=0 is"

    Text Solution

    |

  8. The function f(x)=(3sin x-sin 3x)/(x^(3))" for "x ne 0, f(0) =1 at x=0...

    Text Solution

    |

  9. The function f(x)=(1-cos ax)/(1-cos bx)"for "x ne 0, f(0)=a/b" at x= 0...

    Text Solution

    |

  10. The function f(x)=(sqrt(1+x^(2))-sqrt(1-x^(2))/(x^(2))"for "x ne 0, f(...

    Text Solution

    |

  11. The function f(x) =(sqrt(x^(2)+3)-2)/(x-1)"for "x ne 1, f(1)=1//2" at ...

    Text Solution

    |

  12. The function f(x) =(7|x|+5x)/(7|x|-5x) for x ne 0, f(0)=6" at x =0 is ...

    Text Solution

    |

  13. If f(x)=1/(3^(1//x)+1)," then at x=0, f(x) is"

    Text Solution

    |

  14. The function f(x) =[(x-1)/(1+e^(1/(x-1))]]" for "x ne 1, f(1)=0" ...

    Text Solution

    |

  15. The function f(x) =(e^(1//x^(2))/(e^(1//x^(2))-1)" for "x ne 0,f(0)=1"...

    Text Solution

    |

  16. f(x) = (x - [x]) sin ((1)/(X)) , at x = 0 , f is

    Text Solution

    |

  17. If f(x)=x sin ""1/x"for "x ne 0, f(0)=0" then at x"=0, f(x) is

    Text Solution

    |

  18. If f(x)=x cos""1/x^(2)" for "x ne 0, f(0)=1" then at x=0, f(x) is"

    Text Solution

    |

  19. If f(x)=(x)/(1+e^(1//x))"for "x ne 0, f(0)=0" then at x=0, f(x) is"

    Text Solution

    |

  20. The function f(x) =(xe^(1//x))/(1+e^(1//x))+sin""1/x" for "x ne 0, f(0...

    Text Solution

    |