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

Find all points of discontinuity of f, where `f(x)= {((sin x)/(x)",","if " x lt 0),(x+1",","if" x ge 0):}`

Text Solution

Verified by Experts

The correct Answer is:
`x in R`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Exercise-5.2|20 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Exercise-5.3|30 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 5 (Section-D)|4 Videos

  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

f(x)= {((x)/(|x|)",","if" x lt 0),(-1",","if" x ge 0):}

Examine the continuity of f, where f is defined by f(x)= {(sin x- cos x",","if" x ne 0),(-1,"if" x = 0):}

f(x)= {(x+1",","if" x ge 1),(x^(2) + 1",","if " x lt 1):}

Find all the points of discontinuity of f defined by f(x) = |x| - |x+1|

Find all the points of discontinuity of the function f defined by f(x)= {(x+2",",if x lt 1),(0, if x =1),(x-2",", if xgt 1):}

Discuss the continuity of the function f given by f(x)= {(x",","if " x gt 0),(x^(2)",","if " x lt 0):}

f(x)= {(2x",","if" x lt 0),(0",","if" 0 le x le 1),(4x",","if" x gt 1):}

KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Exercise-5.1
  1. Discuss the continuity of the cosine, cosecant, secant and cotangent f...

    Text Solution

    |

  2. Discuss the continuity of the cosine, cosecant, secant and cotangent f...

    Text Solution

    |

  3. Find all points of discontinuity of f, where f(x)= {((sin x)/(x)",","i...

    Text Solution

    |

  4. Determine if f defined by f(x) = {(x^(2)"sin" (1)/(x)",","if" x ne 0),...

    Text Solution

    |

  5. Examine the continuity of f, where f is defined by f(x)= {(sin x- cos ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Find the values of a and b such that the function defined by f(x)= {(5...

    Text Solution

    |

  11. Show that the function defined by f(x)= cos(x^(2)) is a continuous fun...

    Text Solution

    |

  12. Show that the function defined by f(x)= |cos x| is a continuous functi...

    Text Solution

    |

  13. Examine that sin |x| is a continuous function.

    Text Solution

    |

  14. Find all the points of discontinuity of f defined by f(x) = |x| - |x+1...

    Text Solution

    |

  15. Prove that the function f(x)= 5x- 3 is continuous at x=0, at x= -3 and...

    Text Solution

    |

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

    Text Solution

    |

  17. Examine the following functions for continuity. f(x)= x-5

    Text Solution

    |

  18. Examine the following functions for continuity. f(x)= (1)/(x-5), x ...

    Text Solution

    |

  19. Examine the following functions for continuity. f(x)= (x^(2)-25)/(x+...

    Text Solution

    |

  20. Examine the following functions for continuity. f(x) = |x-5|

    Text Solution

    |