Home
Class 12
MATHS
Is the function f defined by f(x)={(x,,,...

Is the function f defined by `f(x)={(x,,,,if x le 1),(5,,,,if x>1):}` continuous at, x=0?At x=1? At x=2 ?

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    PSEB|Exercise Exercise|151 Videos
  • APPLICATION OF DERIVATIVES

    PSEB|Exercise Exercise|189 Videos
  • DETERMINANTS

    PSEB|Exercise Exercise|101 Videos

Similar Questions

Explore conceptually related problems

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

For what value of lambda is the function defined by f(x)={(lambda(x^2-2x),,,, if xle0),(4x+1,,,, if x>0):} continuous at x = 0 ? What about continuity at x = 1 ?

For what value of 'k' the function 'f ' defined by f(x) = {(kx^2,,x,le,4),(3,,x,>,4):} is continuous at x = 4.

For what value of 'k' is the function defined by f(x) = {:{(k(x^2+2),ifxle0),(3x+1,ifx>0):} continuous at x =0? Also write whether the function is continuous at x =1.

If f(x)={(2x+3,x,le1),(k,,x>):} is continuous at x=1 then k=

Discuss the continuity of the function f defined by: f(x)={(x+3,,,,if x le 0),(x-2,,,,if x>1):}

If the function f is defined by f(x)={(7" , "xne0),(a-1" , "x=0):} and f is continuous at x=0 then value of 'a' is _____

If the function f is defined by f(x) = {(5,,x,ne,0),(a-1,,x,=,0):} and f is continuous at x = 0, then value of a is :

PSEB-CONTINUITY AND DIFFERENTIABILITY-Exercise
  1. Examine the following function for continuity: f(x) = |x-5|

    Text Solution

    |

  2. Prove that the function f(x) = x^n, is continuous at x=n, where n is a...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the point (s) of discontinuity of f (x), if : f(x)= {(2x+3,if,x,l...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Discuss the continuity of the function f, where f is defined by: f(x)=...

    Text Solution

    |

  13. Discuss the continuity of the function f, where f is defined by: f(x)=...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Show that the function defined by g(x) = x-[x] is discontinuous at al...

    Text Solution

    |

  17. Is the function defined by f(x) = x^2-sinx+5 continuous at x=pi

    Text Solution

    |

  18. Discuss the continuity of the following function: f(x) = sinx + cosx

    Text Solution

    |

  19. Discuss the continuity of the following function: f(x) = sinx - cosx

    Text Solution

    |

  20. Discuss the continuity of the following function: f(x) = sinx cdot cos...

    Text Solution

    |