Home
Class 12
MATHS
The function f(x) = Sin(x)/[[x]] , where...

The function `f(x) = Sin(x)/[[x]]` , where `[x]` the greatest function at x=0 f(x) has

A

Continuity

B

Irremovable discontinuity

C

Removable discontinuity

D

Cant say

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    TARGET PUBLICATION|Exercise Evaluation Test|10 Videos
  • CONTINUITY

    TARGET PUBLICATION|Exercise Critical Thinking|80 Videos
  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos
  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

Similar Questions

Explore conceptually related problems

The function f(x)={x} sin (pi[x]) , where [.] denotes the greatest integer function and {.} is the fractional part function, is discontinuous at

The function,f(x)=[|x|]-|[x]| where [] denotes greatest integer function:

The range of the function f(x) =[sinx+cosx] (where [x] denotes the greatest integer function) is f(x) in :

The domain of the function f(x)=(sin^(-1)x)/([x]) is (where [ ] is greatest integer function)

The range of f(x)=[sin{x}], where [x] denotes greatest integer function

The period of the function f(x)=sin(x+3-[x+3]) where [] denotes the greatest integer function

The domain of the function f(x)=(sin^(-1)x)/([x]) is (where is greatest integer function)

Let us consider a function f(x)=sin[x] where [x] denotes the greatest integer function.Then

Let A be the greatest value of the function f(x)=log_(x)[x], (where) denotes greatest integer function) and B be the least value of the function g(x)=|sin x|+|cos x|, then:

TARGET PUBLICATION-CONTINUITY-Competitive Thinking
  1. If f(x) = {((|x-a|)/(x-a), ",","when"x != a),(1, ",", "when"x = a ):} ...

    Text Solution

    |

  2. The function f(x) = |x| = (|x|)/x is

    Text Solution

    |

  3. The points of discontinuity of the function f(x)=(2x^(2)+7)/(x^(3)+3x...

    Text Solution

    |

  4. If f: R to R is defined by f(x) = {(x-1, ",","for"x le 1),(2-x^(2),...

    Text Solution

    |

  5. The number of points at which the function f(x) = 1/(log|x|) is discon...

    Text Solution

    |

  6. The number of discontinuities of the greatest interger function f(x) =...

    Text Solution

    |

  7. If the function f(x) = {(5x-4, ",","if"0 lt x le 1),(4x^(2)+3bx, ","...

    Text Solution

    |

  8. Let f(x) = {((x^(3)+x^(2)-16x+20)/((x-2)^(2)), ",","if" x != 2),(k, ",...

    Text Solution

    |

  9. The function f(x) = Sin(x)/[[x]] , where [x] the greatest function at ...

    Text Solution

    |

  10. The function f(x) = sin{x} is where {.} is fractional part function

    Text Solution

    |

  11. Let f(x) = (1-tanx)/(4x-pi), x != (pi)/4, x in [0,(pi)/2]. If f(x) is ...

    Text Solution

    |

  12. If the function f9x)=(2x-sin^(-1)x)/(2x+tan^(-1)x) is continuous at ea...

    Text Solution

    |

  13. The function f(x) = {(x+2, ",",1 le x lt 2),(4, ",", x = 2 ),(3x-2, "...

    Text Solution

    |

  14. The value(s) of x for which the function f(x) = {(1-x, ",", x lt 1),...

    Text Solution

    |

  15. If f(x) is continuous over [-pi, pi], where f(x) is defined as f(x) ...

    Text Solution

    |

  16. Let f(x) = {(-2sin x, ",","if" x le -(pi)/2),(A sin x + B, ",", "if"-(...

    Text Solution

    |

  17. The value of p and q for which the function f(x) = {((sin(p+1)x+sinx...

    Text Solution

    |

  18. Q. For every integer n, let an and bn be real numbers. Let function f:...

    Text Solution

    |

  19. Let a function f: R to R, where R is the set of real nos. satisfying t...

    Text Solution

    |

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

    Text Solution

    |