Home
Class 12
MATHS
Fill in the blanks so that the resulting...

Fill in the blanks so that the resulting statement is correct. Let `f(x) = [x] sin((pi)/([x + 1]))`, where `[*]` denotes greatest integral function. The domain of f is ……….and the points of discontinuity of f in the domain arte

Text Solution

Verified by Experts

The correct Answer is:
`x epsilon_(-oo,-1)uu[0,oo),I-{0}]`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE main (Archive)|51 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

Fill in the blanks so that the resulting statement is correct. Let f(x) = [x + 2] sin((pi)/([x + 1])) , where [*] denotes greatest integral function. The domain of f is ……….and the points of discontinuity of f in the domain are

f(x)=log(x-[x]) , where [*] denotes the greatest integer function. find the domain of f(x).

If f(x)=[x] sin ((pi)/([x+1])) , where [.] denotes the greatest integer function, then the set of point of discontiuity of f in its domain is

Let f(x) = (1)/(sqrt(|x-1|-[x])) where[.] denotes the greatest integer funciton them the domain of f(x) is

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

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

Let f (x) = cosec^-1[1 + sin^2x], where [*] denotes the greatest integer function, then the range of f

Domain of f(x)=log(x^2+5x+6)/([x]-1) where [.] denotes greatest integer function:

If f:Rto[-1,1] where f(x)=sin((pi)/2[x]), (where [.] denotes the greatest integer fucntion), then

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-JEE Advanced (Archive)
  1. If f(x)=|x-2| and g(x)=f(f(x)) then g'(x)=

    Text Solution

    |

  2. If ex^(xy)-y=sin^(2)x then (dy)/(dx) at x = 0 is

    Text Solution

    |

  3. Fill in the blanks so that the resulting statement is correct. Let f(x...

    Text Solution

    |

  4. Let F(x)=f(x) g(x) h(x) for all real x, where f(x), g(x), and h(x) are...

    Text Solution

    |

  5. Evaluate lim(xto0)(int(0)^(x^(2))cost^(2)dt)/(x sin x)

    Text Solution

    |

  6. If (a+bx)e^(y/x)=x , Prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^2

    Text Solution

    |

  7. If y={(log)(cosx)sinx}{(log)(sinx)cosx}^(-1)+sin^(-1)((2x)/(1+x^2)),fi...

    Text Solution

    |

  8. Let alpha be a repeated root of a quadratic equation f(x)=0a n dA(x...

    Text Solution

    |

  9. Let f(x) = x^(3) - x^(2) + x + 1 and g(x) = {{:(max f(t)",", 0 le t le...

    Text Solution

    |

  10. Let f(x) be defined on [-2,2] and be given by f(x)={(-1",",-2 le x l...

    Text Solution

    |

  11. Let g(x) be a polynomial of degree one and f(x) is defined by f(x)={g...

    Text Solution

    |

  12. Let f be a continuous, g be a discontinuous function. Prove that f + g...

    Text Solution

    |

  13. Let f(x) be continuous function satisfying the condition f(-x) = f...

    Text Solution

    |

  14. Let R be the set of real numbers and f : R to R be such that for all x...

    Text Solution

    |

  15. The points where the function f(x) = [x] + |1 - x|, -1 < x < 3 where [...

    Text Solution

    |

  16. The values of a and b so that the function f(x) = {{:(x + a sqrt(2) si...

    Text Solution

    |

  17. If x=s e ctheta-costhetaa n dy=sec^ntheta-cos^ntheta,p rov et h a t ...

    Text Solution

    |

  18. A function f : R rarr R satisfies the equation f(x+y) = f(x). f(y...

    Text Solution

    |

  19. Given that f(x)= {((1-cos4x)/(x^(2))",","if "x lt 0),(a",","if "x =0),...

    Text Solution

    |

  20. Find (dy)/(dx) at x=-1, when (siny)^(sin.(pix)/(2))+(sqrt3)/(2)sec^(-1...

    Text Solution

    |