Home
Class 11
MATHS
At the given point x0 discover whether t...

At the given point `x_0` discover whether the given function is continuous or discontinuous citing the reasons for your answer.
`x_0=1,f(x)={:{((x^2-1)/(x-1),x ne 1),(2,x=1):}`

Text Solution

Verified by Experts

The correct Answer is:
1
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

At the given point x_0 discover whether the given function is continuous or discontinuous citing the reasons for your answer. x_0=3,f(x)={:{((x^2-9)/(x-3),x ne 3),(5,x=3):}

At the given point x_(0) discover whether the given function is continuous or discontinuous citing the reasons for your answer: x_(0)=1,f(x)={{:((x^(2)-1)/(x-1)", "xne1),(2", "x=1):}

At the given point x_(0) discover whether the given function is continuous or discontinuous citing the reasons for your answer: x_(0)=3,f(x)={{:((x^(2)-9)/(x-3)", ""if "xne3),(5", ""if "x=3):}

Examine whether the function f given by f(x)= x^2 is continuous at x= 0.

if the function f(x)=AX-B X =2 is continuous at x=1 and discontinuous at x=2 find the value of A and B

For what value of a is this function f(x){:{((x^4-1)/(x-1)if,x ne 1),(aif,x=1):} continuous at x=1?

Find all points of discontinuity of f, where f is defined by f(x) = {{:((|x|)/(x)," if "x ne0),(0," if "x= 0):}

Find the limits lim_ (x to 1) f(x) where f(x)={:{(x^2+2,x ne1),(1,x=1):}

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

    Text Solution

    |

  2. Find the points of discontinuity of the function f, where f(x)={:{(s...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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

    |