Home
Class 12
MATHS
Disuss the continuity of the function ...

Disuss the continuity of the function f where f is defined by
`f(x) {{:(3 if 0 le x le 1 ),(4 if 1 lt x lt 3 ),(5 if 3 le x le 10 ):}`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|788 Videos

  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

  • DETERMINANTS

    PRADEEP PUBLICATION|Exercise EXERCISE|342 Videos

Similar Questions

Explore conceptually related problems

Discuss the continuity of the function f(x) = {{:(3"," , "if " 0 le x le 1),(4",", "if " 1 lt x lt 3),(5"," , "if " 3 le x le 10):}

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

Discuss the continuity of the function : f(x) = {:{(-2,if 0 le x le 1),(4,if 1 < x < 3),(5,if 3 le x le 10):}

Discuss the continuity of the function f(x) = {:{(x , if x > 0),(x^2, if x le0):} .

Discuss the continuity of the function f(x) at x = 1/2 where f(x) = {{:(1/2 + x"," , x le x lt 1/2),(1",", x = 1/2),(3/2 + x,1/2 lt x lt 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):}

Discuss the continuity of the function f(x) = {:{(x^2, x le 0),(1-x,x>0):} at x = 0

Discuss the continuly of the following functions f(x) = {{:(2"," , "if " x lt -1),(2x",", "if " -1 le x le 1),(2"," , "if " x gt 1):}

PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Find all points of discontinuity of f, where f is defined by : f(x)={(...

    Text Solution

    |

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

    Text Solution

    |

  3. Disuss the continuity of the function f where f is defined by f(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. For what value of lambda is the function defined by f(x) = {:{lambda(x...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Find all points of discontinuity of f, where: f(x)={(sinx/x,,,, if x <...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. In the following, determine the constant so that given function is con...

    Text Solution

    |

  19. Determine the value of the constant k so that the function f(x) = {:{(...

    Text Solution

    |

  20. Find the values of a and b such that the function defined by f(x){(5,"...

    Text Solution

    |