Home
Class 12
MATHS
Which of the following function has ...

Which of the following function has finite number of points of discontinuity in R ([.] represents the greatest integer function )?

A

`tanx`

B

`(|x|)/x`

C

`x+[x]`

D

`sin[pix]`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise LEVEL 2|103 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|14 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

Similar Questions

Explore conceptually related problems

Which of the following functions have finite number of points of discontinuity in R ( where, [*] represents greatest integer function ) ?

Find the number of points of discontinuity for f(x)=[6sinx],0lt=pi([dot] represents the greatest integer function).

Let f(x) = [x] and [] represents the greatest integer function, then

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

Discuss the continuity of the function ([.] represents the greatest integer function): f(x)=[(log)_e x]

Discuss the continuity of the function ([.] represents the greatest integer function): f(x)=[sin^(-1)x]

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

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

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

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL -1
  1. If a real valued function f(x) satisfies the equation f(x +y)=f(x)+f (...

    Text Solution

    |

  2. The set of points of discontinuity of the function f(x)=(1)/(log|x|),i...

    Text Solution

    |

  3. Which of the following function has finite number of points of ...

    Text Solution

    |

  4. The value of f(0), so that the function f(x)=(sqrt(a^2-a x+x^2)-sqrt(...

    Text Solution

    |

  5. If f(x)=(x-e^(x)+cos2x)/(x^(2)) where x!=0, is continuous at x=0 then ...

    Text Solution

    |

  6. The value(s) of x for which f(x)=(e^(sinx))/(4-sqrt(x^(2)-9)) is conti...

    Text Solution

    |

  7. Which of the following function(s) defined at x = 0 has/have removable...

    Text Solution

    |

  8. Let f(x) = [x] and g(x) = {{:(0",",x in Z),(x^(2)",",x in R - Z):}, th...

    Text Solution

    |

  9. The function f(x) = (4-x^(2))/(4x-x^(3)) is discontinuous at

    Text Solution

    |

  10. If f(x)=1/((x-1)(x-2)) and g(x)=1/x^2 then points of discontinuity of ...

    Text Solution

    |

  11. If f(x) is differentiable at x=a , find (lim)(x->a)(x^2f(a)-a^2\ f(x))...

    Text Solution

    |

  12. Prove that the function If f(x)={:{((x)/(1+e^(1//x)) ", " x ne 0),(" ...

    Text Solution

    |

  13. If f(x)={((x-2)2^(-(1/(|x-2|)+1/(x-2))),x!=2),(0,x=2):} then f(x) at x...

    Text Solution

    |

  14. If f(x)={(1,xlt0),(1+sinx,0 le x le(pi)/2),(2+(x-(pi)/2),(pi)/2lex):} ...

    Text Solution

    |

  15. f(x)={(|2x-3|[x],0lexle2),(x^(2)/2,2ltxle3):}. If f(x) is defined in (...

    Text Solution

    |

  16. Discuss the differentiability of f(x) =[x]+ sqrt({x})), where [.] an...

    Text Solution

    |

  17. If the function and the derivative of the function f(x) is everywhere ...

    Text Solution

    |

  18. If f(x)=[sqrt(2)sinx], where [x] represents the greatest integer funct...

    Text Solution

    |

  19. Let f(x) ={{:((x-1)^(2) sin (1)/((x-1))-|x|, if x ne 1 ),(-1,if x=1):}...

    Text Solution

    |

  20. Let f(x) be defined as follows f(x)={(x^(6),x^(2)gt1),(x^(3),x^(2)le1)...

    Text Solution

    |