Home
Class 12
MATHS
Show that the function f(x)={(x-4", ...

Show that the function `f(x)={(x-4", "x le 5),(5x-24", "xgt5):}` is cotinuous at x=5.

Promotional Banner

Topper's Solved these Questions

  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5b|7 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5c|14 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|23 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

  • DETERMINANTS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

For what value of k, the function f(x) ={:{(Kx^2", " x le 2 ),(" "5", " xgt2):}, is continuous at x=2.

Show that the function f(x)={:{(1+x ", " x le2","),(5-x", "x gt2):} is not differentiable at x=2

f(x) = {(3x-8,",", "if"x le 5),(2k,",", "if"x gt 5):} is continuous at x = 5, find k.

Prove that the function If f(x)={:{(6x-5", " x le 3),(2x^2-6x+13", " xgt3):} is differentiable at x=3.

Show tha the function f (x) = {{:(1+x"," if x le 2 ,), ( 5-x "," if x gt 2):} is not differentiable at x = 2 .

The function f(x) = {(1 + x", when " x le 2),(5 -x ", when " x gt 2):} is

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

f(x)={{:(3x-8, if x le 5),(2k, if x gt 5) :} at x = 5

f(x)={{:(3x-8, if x le 5),(2k, if x gt 5) :} at x = 5

A function f(x) = {:{(1+x",",xle2),(5-x,","xgt2):} is

NAGEEN PRAKASHAN-Continuity and Differentiability-Exercies 5a
  1. The fuction f(x) is defined in the interval [0,1] as follows: f(x)={...

    Text Solution

    |

  2. Discuss the continuity of the function = f(x)={(3-x", "x le 0),(x...

    Text Solution

    |

  3. Show that the function f(x)={(x-4", "x le 5),(5x-24", "xgt5):}...

    Text Solution

    |

  4. Discuss the continutily of the following fuction at x=1 and 2 f(x)...

    Text Solution

    |

  5. If f(x)={(x^2+1", "x ne 1),(" "3 ", "x=1):} , then check whethe...

    Text Solution

    |

  6. Discuss the continuiy of the function f(x)={(1/x ", " x ne 0),(1...

    Text Solution

    |

  7. Discuss the continuity of the function f(x)={((|x|)/x", " xne 0)...

    Text Solution

    |

  8. (i) Dissusse the continuity of the function f(x)={(|x-a|", " xne a...

    Text Solution

    |

  9. Show that f(x) = sinx is continuous for all values of x.

    Text Solution

    |

  10. Prove that f(x) = {sinx/x ; x != 0 and 1 ; x=0. is continuous at x=0...

    Text Solution

    |

  11. If f(x) ={:{((sin 3x)/(sin 5x)", "x ne 0),(0", " x= 0):}, then d...

    Text Solution

    |

  12. Show that the function f(x) ={:{((sin 3x)/(x)", "x ne 0),(1", " ...

    Text Solution

    |

  13. Discuss the continuity of f(x) ={:{((sin^2 2x)/(x^2)", "x ne 0),(1", ...

    Text Solution

    |

  14. Discuss the continuity of f(x) ={:{(cos""(1)/(x)", "x ne 0),(" "1",...

    Text Solution

    |

  15. Discuss the continuity of f(x) ={:{(sin""(1)/(x)", "x ne 0),(" "1", ...

    Text Solution

    |

  16. Discuss the continutiy of f(x) ={:{(xcos""(1)/(x)", "x ne 0),(" "0...

    Text Solution

    |

  17. Disuss the continutiy of f(x) ={:{((sin^2 x)/(x^2)", "x ne 0),(" "0"...

    Text Solution

    |

  18. If the function f(x) ={:{((3x^3-2x^2-1)/(x-1)", "x ne 1),(" "K", ...

    Text Solution

    |

  19. For what value of k, the function f(x) ={:{(Kx^2", " x le 2 ),(" ...

    Text Solution

    |

  20. For what value of k, the function f(x) ={:{((x^2-4)/(x-2)", " x ne 2...

    Text Solution

    |