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

Discuss the continuity of the function `f(x)` at `x = 5`, if
`f(x) = {{:((x^2 - 25)/(x - 5)"," ,"if "x != 5),(10",", "if "x = 5):}`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos

Similar Questions

Explore conceptually related problems

Discuss the continuity of the function f(x) at x = 3 if f(x) = {{:((x - 3)/(sqrt(x^2) - 9)"," ,x != 3),(0",", x = 3):}

Discuss the continuity of function f(x) at 0 , if f(x) = |x| .

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

Discuss the continuity of the function f(x) at x = 0 , where f(x) ={:{(( |x|/x) , x ne 0),(0,x=0):}

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 = 2, where f(x) = {:{(3x + 5, if, x ge2),(x^2, if , x<2):}

Find k so that f(x) = {{:((x^2 -25 )/(x -5)"," ,"if " x != 5),(k",","if " x = 5 ):} is continuous at x = 5 .

Discuss the continuity of the function f given by f(x) = x^3+x^2-1

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Discuss the continuity of the function: f(x) = {:{(1+x^2,0lexle1),(2...

    Text Solution

    |

  2. Examine the continuity of the function f(x) = {:{(x+1,xle2),(2x-1,x>2)...

    Text Solution

    |

  3. Discuss the continuity of the function f(x) at x = 5, if f(x) = {{:(...

    Text Solution

    |

  4. Discuss the continuity of the function f(x) = {{:((|x - 2|)/(2 - x)"...

    Text Solution

    |

  5. Discuss the continuity of the function f(x) = {{:((|x - 2|)/(2 - x)"...

    Text Solution

    |

  6. Discuss the continuity of the function : f(x) = {:{((|x-a|)/(x-a), w...

    Text Solution

    |

  7. Discuss the continuity of the function : f(x) = {:{(-2,if 0 le x le ...

    Text Solution

    |

  8. Differentiation of the function : f(x) = 4x+3

    Text Solution

    |

  9. Show that the following function are continuous at x=0: f(x) = |x|cos(...

    Text Solution

    |

  10. Show that the following function are continuous at x=0: f(x) = {:{(xco...

    Text Solution

    |

  11. Test the continuity of the following functions at indicated points : ...

    Text Solution

    |

  12. Examine the continuity of the function 'f' at x = 0, if f(x) ={(x sin(...

    Text Solution

    |

  13. Examine the continuity of the function f(x) at x = 0, f(x) = {:{(|sinx...

    Text Solution

    |

  14. Discuss the continuity of the function defined by f(x) = {{:((tan 2x...

    Text Solution

    |

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

    Text Solution

    |

  16. Test the continuity of the following functions at indicated points : ...

    Text Solution

    |

  17. Examine the function for continuity at x = 0: f(x) = {:{(sinx/x, whe...

    Text Solution

    |

  18. Discuss the continuity of f(x) at x = 0 if: f(x) = {:{((sqrt(1+x)-sq...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |