Home
Class 12
MATHS
Let [] donots the greatest integer funct...

Let [] donots the greatest integer function and `f (x)= [tan ^(2) x],` then

A

`lim_(xto0)f(x)` does not exist

B

`f(x)` is contious at `x=0`

C

`f(x)` is non differentiable at x=0

D

`f(0)=1`

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

Let [.] represent the greatest integer function and f (x)=[tan^2 x] then :

Let f:NrarrN be a function such x-f(x)=19[(x)/(19)]-90[(f(x))/(90)],AAx in N , where [.] denotes the greatest integer function and [.] denotes the greatest integers function and 1900ltf(1990)lt2000 , then possible value of f(1990) is

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

Find the period (if periodic) of the following function ([.] denotes the greatest integer functions): f(x)=tanpi/2[x]

If [.] denotes the greatest integer function, then f(x)=[x]+[x+(1)/(2)]

Let f(x) = (sin (pi [ x + pi]))/(1+[x]^(2)) where [] denotes the greatest integer function then f(x) is

Let f(x) = (sin (pi [ x - pi]))/(1+[x^2]) where [] denotes the greatest integer function then f(x) is

if f(x) = tan(pi[(2x-3pi)^3])/(1+[2x-3pi]^2) ([.] denotes the greatest integer function), then

Let f(x) = x [x], where [*] denotes the greatest integer function, when x is not an integer then find the value of f prime (x)

Let [.] represents the greatest integer function and [cos^(-1)sin^(-1)tan^(-1)x]=1 then 'x' lies in the intervel.

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL -1
  1. If f(x)=(sin3x+Asin2x+Bsinx)/(x^(5)) forx!=0 is continuous at x=0, the...

    Text Solution

    |

  2. If f(x)={((a^(2[x]+{x})-1)"/ "(2[x]+{x}),x!=0),(log(e)a,x=0):} Then ...

    Text Solution

    |

  3. Let [] donots the greatest integer function and f (x)= [tan ^(2) x], t...

    Text Solution

    |

  4. f(x)=[tan^(-1)x] where [.] denotes the greatest integer function, is d...

    Text Solution

    |

  5. f(x)=[sinx] where [.] denotest the greatest integer function is contin...

    Text Solution

    |

  6. if f(x) = tan(pi[(2x-3pi)^3])/(1+[2x-3pi]^2) ([.] denotes the greates...

    Text Solution

    |

  7. The jump value of the function at the point of the discontinuity of th...

    Text Solution

    |

  8. Solve (1-x)dy=e^y dx

    Text Solution

    |

  9. The value of f(0), so that the function f(x)=(1-cos(1-cosx))/(x^(4...

    Text Solution

    |

  10. If lim(xtoa^(+))f(x)=l=lim(xtoa^(-))g(x) and lim(xtoa^(-))f(x)=m=lim(x...

    Text Solution

    |

  11. Solve ydx=(1+x^2)dy

    Text Solution

    |

  12. f+g may be a continuous function, if (a) f is continuous and g is disc...

    Text Solution

    |

  13. The value of f(0) such that f(x)=((1+tanx)/(1+sinx))^(cosecx) can be m...

    Text Solution

    |

  14. The inverse of the function f:Rto range of f, defined by f(x)=(e^(x)-e...

    Text Solution

    |

  15. If f(x)={((sin([x]+x))/([x]+x),x!=0),(1,x=0):} when [.] denotes the gr...

    Text Solution

    |

  16. In x epsilon(0,1),f(x)=[3x^(2)+1], where [x] stands for the greatest i...

    Text Solution

    |

  17. If a real valued function f(x) satisfies the equation f(x +y)=f(x)+f (...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |