Home
Class 12
MATHS
The function f(x) = [x] is :...

The function f(x) = [x] is :

A

discontinuous only for integral x

B

a constant function

C

continuous for all x

D

derivable for all x

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LIMIT AND CONTINUITY

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|11 Videos
  • LIMIT AND CONTINUITY

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|7 Videos
  • LIMIT AND CONTINUITY

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|7 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|10 Videos
  • MATHEMATICAL REASONING

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|9 Videos

Similar Questions

Explore conceptually related problems

The function f(x) = [x] where [x] is the greatest integer function is continous at

The function f(x)= [x] , where [x] denotes greatest integer function is continuous at __________

The function f(x) = cot x discontinuous on the set

The function f(x) = [x], where [x] denotes the greatest integer not greater than x, is

The function f(x)=|x| has:

The function f(x)=|x-2|+x is

The function f(x) = |x| + |x-1| is

The function f(x)=[x] , where [x] denotes the greatest than x, is

MODERN PUBLICATION-LIMIT AND CONTINUITY -MULTIPLE CHOICE QUESTIONS(LEVEL - II )
  1. Let f(x) = [{:((g(x) - g(a))/(x-a),x ne 0),(g'(a),x = a):}, where g is...

    Text Solution

    |

  2. Let f(x) = {{:(1,x le -1),(|x|,-1 lt x lt 1),(0,x ge 1):}, then :

    Text Solution

    |

  3. The function f(x) = [x] is :

    Text Solution

    |

  4. Let f(x) = (1 - cos px)/(x sin x), where x ne 0 and f(0) = (1)/(2). If...

    Text Solution

    |

  5. Let f(x) = (1-sin x)/((pi - 2x)^(2)),"where x" ne pi//2 and f(pi//2) =...

    Text Solution

    |

  6. Let f(x) = (tan (pi//4-x))/(cot 2x)"for x" ne pi//4, then for f to be ...

    Text Solution

    |

  7. Let f(x) = [{:((x^(2))/(a),0 le x lt 1),(a,1 le x lt sqrt(2)),((2b^(2)...

    Text Solution

    |

  8. The value of f(0) so that the function : f(x) = (sqrt(1 + x) - (1+x)^(...

    Text Solution

    |

  9. Let f(x) = (sqrt(1 + sin x)-sqrt(1-sin x))/(x)lim The value, which sho...

    Text Solution

    |

  10. To make f(x)=(x+1)^(cotx) continuous at x=0,f(0) must defined as

    Text Solution

    |

  11. If f(x) = (1)/(2) x - 1, then on the interval [0, pi] :

    Text Solution

    |

  12. The value of x, where the function : f(x) = (tan x log (x-2))/(x^(2) -...

    Text Solution

    |

  13. Let f(x) = (tan ((pi)/(4) - x))/(cot 2 x), x ne pi//4, the value which...

    Text Solution

    |

  14. Let f(x) = x + 2, where x le 1 and f(x) = 4x - 1, when x gt 1, then :

    Text Solution

    |

  15. Let the function f be defined by f(x) = "x sin" (1)/(x), when x ne 0 =...

    Text Solution

    |

  16. f(x) = (|x-a|)/(x-a), when x ne a, = 1, when x = a, then :

    Text Solution

    |

  17. The value of f(0) for which the function : (log(e) (1-ax) - log(3) (1-...

    Text Solution

    |

  18. If f(x) = ((e^(x)-1)^(4))/(sin((x^(2))/(lambda^(2)))log(1+(x^(2))/(2))...

    Text Solution

    |

  19. If f(x) = [x] + [-x], x ne 2 = lambda, x = 2, then f is continuous at ...

    Text Solution

    |

  20. Let f(x) be defined by f(x) = {{:((|x^(2) - x|)/(x^(2) - x),x ne 0"," ...

    Text Solution

    |