Home
Class 12
MATHS
Graph of y=f(x) is shown in the adjacent...

Graph of `y=f(x)` is shown in the adjacent figure

Value of `lim_(0^(+))({f(x)-1})` is equal to (wher {.} denotes fractional part function)

A

`(pi)/4`

B

`(pi)/6`

C

`0`

D

`1`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The value of lim_(xto0)sin^(-1){x} (where {.} denotes fractional part of x) is

The graph of the function y=f(x) is shown in the adjacent figure then correct statement is

Period of the function f(x)=sin(sin(pix))+e^({3x}) , where {.} denotes the fractional part of x is

The domain of f(x) = sqrt( 2 {x}^2 - 3 {x} + 1) where {.} denotes the fractional part in [-1,1]

The total number of solution of sin {x}= cos {x} (where {.} denotes the fractional part) in [0, 2pi] is equal to

The range of the function y=sqrt(2{x}-{x}^2-3/4) (where, denotes the fractional part) is

lim _(x rarr 1) (xsin(x−[x])) /(x-1) ​ , where [.] denotes the greatest integer function, is equal to

Solve 1/[x]+1/([2x])= {x}+1/3where [.] denotes the greatest integers function and{.} denotes fractional part function.

The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greatest integer function, is

If f(x) = {{:(x+{x}+x sin {x}",","for",x ne 0),(0",","for",x = 0):} , where {x} denotes the fractional part function, then

ALLEN -TEST PAPERS-MATHEMATICS
  1. g:[0,pi]toR is defined as g(x)={("max"{"sin"x,1/2},"where",x epsilon[0...

    Text Solution

    |

  2. g:[0,pi]toR is defined as g(x)={("max"{"sin"x,1/2},"where",x epsilon[0...

    Text Solution

    |

  3. Graph of y=f(x) is shown in the adjacent figure Value of lim(0^(...

    Text Solution

    |

  4. Graph of y=f(x) is shown in the adjacent figure value of (xto1^(...

    Text Solution

    |

  5. Let f(x)=([x]-[-x])|x-1+ where [.] denotes greatest integer functon, v...

    Text Solution

    |

  6. Let f:RtoR and g:RtoR both differentiable function such that f(1)=1,f'...

    Text Solution

    |

  7. If f(x)=|x-1|+|x-3|,then value of f'(2) is equal to

    Text Solution

    |

  8. Let y=(secx+tanx-1)/(tanx-secx+1).If ((dy)/(dx))(x=(pi)/4)=a+sqrt(b), ...

    Text Solution

    |

  9. Number of point(s) of non-differentiability of function f(x)=(x-1)|x...

    Text Solution

    |

  10. If I=int(sec^(2)x)/(tan^(97(x+tanx))dx=-1/96 ln (1+cot^(lamda)x)+C, wh...

    Text Solution

    |

  11. Let u(x) and v(x) are differentiable function such that (u(x))/(v(x))=...

    Text Solution

    |

  12. Let f(x)=sin^(-1)((x+3)/(2x+5)),g(x)=sin^(-1)((ax^(2)+b)/(x+5)). If li...

    Text Solution

    |

  13. Let T(n) and S(n) be the nth term and sum of first n tems of a series ...

    Text Solution

    |

  14. Complete solution of x^(3log(10)^(3)x 2/3log(10)^(x)=root(3)(10^(7)) i...

    Text Solution

    |

  15. If f(x) is a polynomial of degree 5 with leading co-fficient 1 such t...

    Text Solution

    |

  16. Let f(x),g(x),h(x) and R(x) be four functions f(x)=e^({2x}) where {....

    Text Solution

    |

  17. Let f(x),g(x),h(x) and R(x) be four functions f(x)=e^({2x}) where {....

    Text Solution

    |

  18. Let f(x),g(x),h(x) and R(x) be four functions f(x)=e^({2x}) where {....

    Text Solution

    |

  19. Column I : Contains information about f(x) Column II: Contains range...

    Text Solution

    |

  20. Column I : Contains information about f(x) Column II: Contains range...

    Text Solution

    |