Home
Class 11
MATHS
Find the points at which f is discontinu...

Find the points at which f is discontinuous . At which of these points f is continuous from the right, from the left,or neither? Sketch the graph of f.
`f(x)={:{((x-1)^3,if,x lt0),((x+1)^3,if,xgt0):}`

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise EXERCISE 9.6|25 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise EXERCISE 9.4|28 Videos

  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 5 ADDITIONAL PROBLEMS (Find the derivative of following functions.)|10 Videos

  • EXAMINATION QUESTION PAPER - JUNE 2019

    FULL MARKS|Exercise PART -IV|7 Videos

Similar Questions

Explore conceptually related problems

Find the points at which f is discontinuous. At which of these points f is continuous from the right, from the left, or neither? Sketch the graph of f. f(x)={{:((x-1)^(3)", ""if "xlt0),((x+1)^(3)", ""if "xge0):}:}

Find the points at which f is discontinuous . At which of these points f is continuous from the right, from the left,or neither? Sketch the graph of f. f(x)={:{(2x+1,if,xle-1),(3x,if,-1ltxlt1),(2x-1,if,xge1):}

Find the points at which f is discontinuous. At which of these points f is continuous from the right, from the left, or neither? Sketch the graph of f. f(x)={{:(2x+1", ""if "xle-1),(3x", ""if "-1ltxlt1),(2x-1", ""if "xge1):}

The point of discontiuity for f(x)={(x-2)^3 ,if xle0 (x+2)^3 ,if xgt0 :

Find the points of discontinuity of the function: f(x)=1/(2sinx-1)

Find the points of discontinuity of the function: f(x)=1/(x^2-3|x|+2)

Find the points of discontinuity of the function f, where f(x)={:{(x^3-3,if,xle2),(x^2+1,if,xgt2):}

Find the point of discontinuity f(x)={3x+5 ,if xle2 3x-5,if xgt2

FULL MARKS-DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY-EXERCISE 9.5
  1. Find the points of discontinuity of the function f, where f(x)={:{(s...

    Text Solution

    |

  2. At the given point x0 discover whether the given function is continuou...

    Text Solution

    |

  3. At the given point x0 discover whether the given function is continuou...

    Text Solution

    |

  4. Show that the function {:{((x^3-1)/(x-1)if,x ne 1),(3if,x=1):} is cont...

    Text Solution

    |

  5. For what value of a is this function f(x){:{((x^4-1)/(x-1)if,x ne 1),(...

    Text Solution

    |

  6. Graph the function. Show that f(x) continuous on (-infty,infty)

    Text Solution

    |

  7. If f and g are continuous functions with f(3)=5 and lim(x to 3)[2f(x)-...

    Text Solution

    |

  8. Find the points at which f is discontinuous . At which of these points...

    Text Solution

    |

  9. Find the points at which f is discontinuous . At which of these points...

    Text Solution

    |

  10. A function f is defined as follows: f(x)={:{(0,for,x lt0),(x , for,0...

    Text Solution

    |

  11. Which of the following f has removable discontinuity at x=x0? If the d...

    Text Solution

    |

  12. Which of the following f has removable discontinuity at x=x0? If the d...

    Text Solution

    |

  13. Which of the following f has removable discontinuity at x=x0? If the d...

    Text Solution

    |

  14. Find the constant b that makes g continuous on (-infty,infty) g(x)=...

    Text Solution

    |

  15. Consider the function f(x)=x sin (pi/x). What value must we give f(0) ...

    Text Solution

    |

  16. The function f(x)=(x^2-1)/(x^3-1) is not defined at x=1. What value mu...

    Text Solution

    |

  17. State how continuity is destroyed at x=x0 for each of the following gr...

    Text Solution

    |

  18. State how continuity is destroyed at x=x0 for each of the following gr...

    Text Solution

    |

  19. State how continuity is destroyed at x=x0 for each of the following gr...

    Text Solution

    |

  20. State how continuity is destroyed at x=x0 for each of the following gr...

    Text Solution

    |