Home
Class 12
MATHS
Find all points of discontinuity of f, w...

Find all points of discontinuity of f, where f is defined by : `f(x)={(|x|/x,,,,if x ne 0),(0,,,,if x=0):}`

Text Solution

Verified by Experts

The correct Answer is:
f has only one point of discontinuous x=0
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (Short Answer Type Questions)(Section III)|3 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (Short Answer Type Questions)(Section IV)|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)|94 Videos

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE |73 Videos

  • DETERMINANTS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (PREVIOUS YEAR.S BOARD QUESTIONS FOR PRACTICE )|45 Videos

Similar Questions

Explore conceptually related problems

Find all points of discontinuity of f, where f is defined by: f(x)={(x/|x|,,,,if x < 0),(-1,,,,if xge0):}

Find all points of discontinuity of f, where f is defined by : f(x)={(|x|+3,,,,if x =3):}

Examine the continuity of f, where f is defined by : f(x)={(sinx-cosx,,,, if x ne0),(-1,,,, if x=0):}

Find all points of discontinuity of f, where f is defined by : f(x)={(x+1,,,,ਜੇਕਰ x ge 1),(x^2+1,,,,ਜੇਕਰ x<1):}

Find all points of discontinuity of f, where f is defined by : f(x)={(x^10-1,,,,ਜੇਕਰ x le 1),(x^2,,,,ਜੇਕਰ x>1):}

Find all points of discontinuity of f, where f is defined by f(x) = {:(-2,if xle -1),(2x,if- 1 1):}

Find all points of discontinuity of f, where f is defined by : f(x)={(x^3-3,,,,ਜੇਕਰ x le 2),(x^2+1,,,,ਜੇਕਰ x>2):}

Find all points of discontinuity of f, where f is defined by f(x) = {:{(x+1,ifxge1),(x^2+1,ifx<1):}

Find all points of discontinuity of f, where f is defined by f(x) = {:{(x^(10) -1, if x le1),(x-5, if x>1):}

BETTER CHOICE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-SOLVED EXAMPLES (Short Answer Type Questions)(Section II)
  1. Prove that the function f(x) = 5x-3, is contNuous at x=0, at x=-3 a...

    Text Solution

    |

  2. Prove that the function f(x) = x + |x| is continuous at x = 0.

    Text Solution

    |

  3. Examine the continuity of the function f(x) = 2x^2 - 1 at x=3

    Text Solution

    |

  4. Discuss the continuity of function f(x) at 0 , if f(x) = |x| .

    Text Solution

    |

  5. Discuss the continuity of f(x) = 0 at x = 0 if f(x) = {{:((sqrt(1 + ...

    Text Solution

    |

  6. Show that the function f(x) = {{:(x^2 + 3 , "if" x != 0),(1,"if" x = 0...

    Text Solution

    |

  7. Determine the constant k, so that function f (x) is continuous at the ...

    Text Solution

    |

  8. Determine, k if the following function is continuous at x = 0 f(x) =...

    Text Solution

    |

  9. Find the values of k so that the function f is continuous at the indic...

    Text Solution

    |

  10. Find the value of k so that the function f is continuous at the indica...

    Text Solution

    |

  11. Find the relationship between a and b so that the function f defined b...

    Text Solution

    |

  12. For what value of lambda is the function defined by f(x)={(lambda(x^2...

    Text Solution

    |

  13. Find all points of discontinuity of f, where f is defined by : f(x)={(...

    Text Solution

    |

  14. Is the function defined by f(x)={(x+5,,,,if x le 1),(x-5,,,,if x>1):}...

    Text Solution

    |

  15. Determine if f defined by : f(x)={(x^2sin(1/x),,,, if x ne0),(0,,,, if...

    Text Solution

    |

  16. Find the values of a and b such that the function defined by : f(x)={(...

    Text Solution

    |