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)={{:(2x", if "xlt0),(0", if "0lexle1),(4x", if "xgt1):}`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5.2|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5.3|15 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (VERY SHORT ANSWER TYPE QUESTIONS)|35 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 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, where f is defined by 'f (x)={3, if olexle 1;4, if 1

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

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

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

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

Examine the continuity of f, where f is defined by : f(x)={{:(sinx+cosx", if "xne0),(1", if "x=0):} .

Discuss the continuity of the function f(x) given by f(x)={2-x,x 0 at x=0

Discuss the continuity of the function f(x) given by f(x)={2x-1,quad if x =0

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5.1
  1. Is the function defined by f(x)={x+5, ifxlt=1x-5, ifx >1 a continuous...

    Text Solution

    |

  2. Discuss the continuity of the function f, where f is defined by f(x){{...

    Text Solution

    |

  3. Discuss 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 byf(x)={...

    Text Solution

    |

  5. Find the relationship between a and b so that the function f define...

    Text Solution

    |

  6. For what value of lambdais the function defined by f(x)={lambda(x^2-2...

    Text Solution

    |

  7. Show that the function defined by g(x)=x-[x] is discontinuous at all i...

    Text Solution

    |

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

    Text Solution

    |

  9. Discuss the continuity of the following functions a) f(x)=sinx+cosx

    Text Solution

    |

  10. Discuss the continuity of f(x)=sinx-cosx

    Text Solution

    |

  11. Discuss the continuity of the following functions : f(x)=sinx*cosx

    Text Solution

    |

  12. Discuss the continuity of the cosine, cosecant, secant and cotangen...

    Text Solution

    |

  13. Find all points of discontinuity of f, wheref(x)={(sinx)/x , ifx<0x+1,...

    Text Solution

    |

  14. Determine if f defined by : f(x)={{:(x^(2)"sin"1/x", if "xne0),(0"...

    Text Solution

    |

  15. Examine the continuity of f, where f is defined by : f(x)={{:(sinx+c...

    Text Solution

    |

  16. Find the value of k so that the function f defined by f(x)={(kcosx)/(...

    Text Solution

    |

  17. f(x) = {{:(kx^(2)"," if x le 2),(3", " if x gt 2):} at x = 2

    Text Solution

    |

  18. Find the values of k so that the function f is continuous at the in...

    Text Solution

    |

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

    Text Solution

    |

  20. Find the value of 'a' and 'b' such that the function defined by : f(...

    Text Solution

    |