Home
Class 12
MATHS
Show that the function f(x) given by f(x...

Show that the function `f(x)` given by `f(x)={xsin1/x ,x!=0 0,x=0`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

  • DEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|562 Videos

Similar Questions

Explore conceptually related problems

Show that the function f(x) given by f(x)={(xsin(1/x),x!=0),(0,x=0):} is continuous at x = 0

Show that the function f(x) given by f(x)={(sinx)/x+cosx ,x!=0 and 2,x=0 is continuous at x=0.

Show that the function f(x) given by f(x)={(sinx)/x+cosx ,\ \ x!=0 2,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=0 ,mmm m m is continuous at x=0 .

Show that the function f given by f(x)={x^3+3ifx!=0 1ifx=0 is not continuous at x = 0 .

Show that the function f(x)={x^m sin(1/x) , 0 ,x != 0,x=0 is differentiable at x=0 ,if m > 1 and continuous but not differentiable at x=0 ,if 0

Show that the function f(x)={((x^2sin(1/x),if,x!=0),(0,if,x=0)) is differentiable at x=0 and f'(0)=0

Show that the function f(x)={x^msin(1/x), x=0 ,0 ,\ \ \ x!=0 ,\ \ \ \ \ \ \x=0 is differentiable at x=0 , if m >1

Show that the function f(x)={x^msin(1/x),\ \ \ x!=0 , 0\ \ x=0 is differentiable at x=0 , if (m>1)

Show that the function f(x) given by f(x)={((e^(1/x)-1)/(e^(1/x)+1), when x!=0), (0, when x=0):} is discontinuous at x=0 .

Show that the function f given by f(x) ={{:( x^(2)+5, if x ne 0), (3, if x = 0):} is not continuous at x=0

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Given f(x)=1/(x-1). Find the points of discontinuity of the composite ...

    Text Solution

    |

  2. Test the continuity of the following function at the origin: f(x)={(|...

    Text Solution

    |

  3. Show that the function f(x) given by f(x)={xsin1/x ,x!=0 0,x=0

    Text Solution

    |

  4. Show that the function f(x) given by f(x)={(sinx)/x+cosx ,\ \ x!=0 2,\...

    Text Solution

    |

  5. Examine the function f(t) given by f(t)={(cost)/(pi//2-t);\ \ \ t!=pi/...

    Text Solution

    |

  6. Show that the function f(x) given by f(x)={((e^(1/x)-1)/(e^(1/x)+1), ...

    Text Solution

    |

  7. Discuss the continuity of the function f(x) at x=1//2 , where f(x)={...

    Text Solution

    |

  8. Discuss the continuity of the function f(x) given by f(x)={2-x ;\ \...

    Text Solution

    |

  9. Show that f(x)={5x-4, when 0ltxle1, 4x^3-3x , when 1ltxlt2 is contin...

    Text Solution

    |

  10. Show that the function f(x)=2x-|x| is continuous at x=0 .

    Text Solution

    |

  11. Discuss the continuity of the function of given by f(x)=|x-1|+|x-2|...

    Text Solution

    |

  12. Determine the value of k for which the following function is continu...

    Text Solution

    |

  13. Find the value of the constant lambda so that the function given...

    Text Solution

    |

  14. Find the value of f(0) so that the function given below is continuo...

    Text Solution

    |

  15. Find the value of ' a ' if the function f(x) defined by f(x)={2x-1,\ \...

    Text Solution

    |

  16. If the function f(x) defined by f(x)={(log(1+a x)-log(1-b x))/x ,\ \ \...

    Text Solution

    |

  17. Find the values of ' a ' so that the function f(x) defined by f(x)={(s...

    Text Solution

    |

  18. If the function f(x) given by f(x)={3a x+b ,\ \ \ if\ x >1\ \ \ \ \ \ ...

    Text Solution

    |

  19. Let f(x)={(1-cos4x)/(x^2),\ \ \ if\ x<0a ,\ \ \ if\ x=0(sqrt(x))/(sqrt...

    Text Solution

    |

  20. Determine f(0) so that the function f(x) defined by f(x)=((4^x-1)^3)/...

    Text Solution

    |