Home
Class 12
MATHS
Discuss the continuity of the function f...

Discuss the continuity of the function f, where f is defined by`f(x)={{:(3, if0lt=xlt=1),( 4, if1 < x < 3),( 5, if3lt=xlt=10):}`

Text Solution

AI Generated Solution

To discuss the continuity of the function \( f \) defined as: \[ f(x) = \begin{cases} 3, & \text{if } 0 < x < 1 \\ 4, & \text{if } 1 < x < 3 \\ 5, & \text{if } 3 < x < 10 ...
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT ENGLISH|Exercise EXERCISE 5.4|10 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    NCERT ENGLISH|Exercise EXERCISE 5.3|15 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    NCERT ENGLISH|Exercise EXERCISE 5.2|10 Videos
  • APPLICATION OF INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 8.2|7 Videos
  • DETERMINANTS

    NCERT ENGLISH|Exercise All Questions|116 Videos

Similar Questions

Explore conceptually related problems

Discuss the continuity of the function f, where f is defined by f(x)={{:(-2, ifxlt=-1),( 2x , if-1 1):}

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

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

Discuss the continuity of the function f defined by f(x) = 1/(x-1) , x ne 1

Discuss the continuity of the function f defined by f(x)={x+2ifxlt=1 x-2ifx >1

Discuss the continuity of the function defined by f(x)={x+2, if x 0

Discuss the continuity of the function f(x) = |x -1| at x=1

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

Discuss the continuity of the function f(x) given by f(x)={2x-1,ifx<0 2x+1,ifxgeq0

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

NCERT ENGLISH-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5.1
  1. Discuss the continuity of the function f, where f is defined byf(x)={...

    Text Solution

    |

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

    Text Solution

    |

  3. Discuss the continuity of the function f, where f is defined byf(x)={...

    Text Solution

    |

  4. Is the function defined by f(x)={{:(x+5, ifxlt=1),(x-5, ifx >1):} a c...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Find all points of discontinuity of f, wheref(x)={{:((sinx)/x , ifx<0)...

    Text Solution

    |

  10. Discuss the continuity of the cosine, cosecant, secant and cotangent ...

    Text Solution

    |

  11. Discuss the continuity of the following functions: (a) f(x) = sin x + ...

    Text Solution

    |

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

    Text Solution

    |

  13. Find the values of k so that the function f is continuous at the indi...

    Text Solution

    |

  14. Find the values of k so that the function f is continuous at the indi...

    Text Solution

    |

  15. Examine the continuity of f, where f is defined byf(x)={{:(sinx-cosx ,...

    Text Solution

    |

  16. Determine if f defined by f(x)={{:(x^2 sin(1/x) , ifx!=0),( 0, ifx=0):...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |