Home
Class 12
MATHS
Test the continuity of the following fun...

Test the continuity of the following function at the origin: `f(x)={(|x|)/x ;x!=0 ,1;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

Test the continuity of the following function at the origin; f(x)={x/(|x|),x!=0 and 1,x=0

Does there exists value of f(0) such that the following function becomes continuous at the origin f(x)={x/(|x|), x!=0

Discuss the continuity of the following function at x = 0 : "f"("x")={("x"^4+2x^3+x^2)/(tan^(-1)x),x!=0 and 0,x=0}

Discuss the continuity of the function f(x)={((|x|)/x", " xne 0),(1", " x=0):} at x=0

Discuss the continuity of the function f(x) given by f(x)={(2-x ,, x =0):} \ at \ x=0

Discuss the continuity of the function f(x)={(|x|)/x\ \ \ ,\ \ \ if\ x!=0 0\ \ \ ,\ \ \ if\ x=0 .

Discuss the continuity of the function f (x)= |x| " at " x=0

Discuss the continuity of the function f defined by f(x)=1/x , x!=0 .

Discuss the continuity of the function f given by f(x)={(x , ifxgeq0), (x^2, ifx<0 )

Test whether the following functions are increasing or decreasing : f(x) = x−1/x ,x∈R,x≠0.

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Find k if the function f(x)={(sin3x)/x ,x!=0;k/2,x=0 is continuous at...

    Text Solution

    |

  2. Discuss the continuity of the function f(x)={(sin2x)/x ,ifx<0,x+2,ifx...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Examination the function f(x) given by f(x)={((cosx)/(pi/2-x) ,, x !=...

    Text Solution

    |

  7. Discuss the continuity of the function f(x) given by f(x)={(2-x ,, x<...

    Text Solution

    |

  8. Determine the values of a , b , c for which the function f(x)={((sin(a...

    Text Solution

    |

  9. If f(x)={((1-coskx)/(xsinx) ,, x!=0),(1/2 ,, x=0):} is continuous at x...

    Text Solution

    |

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

    Text Solution

    |

  11. Determine the value of k for which the following function is continuo...

    Text Solution

    |

  12. Let f(x)=|x|+|x-1|, then

    Text Solution

    |

  13. The function f(x)=(4-x^2)/(4x-x^3) a)discontinuous at only one poin...

    Text Solution

    |

  14. If f(x) defined by f(x)={(|x^2-x|)/(x^2-|x|),x!=0,1-1. Then (A)f...

    Text Solution

    |

  15. Discuss the continuity of the f(x) at the indicated points: f(x)=|x...

    Text Solution

    |

  16. Prove that f(x)=sqrt(|x|-x) is continuous for all xgeq0.

    Text Solution

    |

  17. Given f(x)=1/(x-1). Find the points of discontinuity of the composite ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |