Home
Class 11
MATHS
Which of the following f has removable d...

Which of the following f has removable discontinuity at `x=x_0`? If the discontinuity is removable, find a function g that agrees with f for `x ne x_0` and is continuous on R.
`f(x)=(x^2-2x-8)/(x+2),x_0=-2`

Text Solution

Verified by Experts

The correct Answer is:
-2
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

Which of the following f has removable discontinuity at x=x_0 ? If the discontinuity is removable, find a function g that agrees with f for x ne x_0 and is continuous on R. f(x)=(x^3+64)/(x+4),x_0=-4

Which of the following f has removable discontinuity at x=x_0 ? If the discontinuity is removable, find a function g that agrees with f for x ne x_0 and is continuous on R. f(x)=(3-sqrtx)/(9-x),x_0=9

Which of the following functions f has a removable discontinuity at x=x_(0) ? If the discontinuity is removable, find a function g that agrees with f for xnex_(0) and is continuous on RR . f(x)=(x^(2)-2x-8)/(x+2),x_(0)=-2

Which of the following functions f has a removable discontinuity at x=x_(0) ? If the discontinuity is removable, find a function g that agrees with f for xnex_(0) and is continuous on RR . f(x)=(x^(3)+64)/(x+4),x_(0)=-4

Which of the following functions f has a removable discontinuity at x=x_(0) ? If the discontinuity is removable, find a function g that agrees with f for xnex_(0) and is continuous on RR . f(x)=(3-sqrtx)/(9-x),x_(0)=9

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

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

Match the following for the type of discontinuity at x=1 in column II for the function in column I. f(x)=1/(x-1) , p. Removable discontinuity f(x)=(x^3-x)/(x^2-1) , q. Non-removable discontinuity f(x)=(|x-1|)/(x-1) , r. Jump of discontinuity f(x)=sin(1/(x-1)) , s. Discontinuity due to vertical asymptote , t. Missing point discontinuity , u. Oscillating discontinuity

Let a function f be defined by f(x)=(x-|x|)/x for x ne 0 and f(0)=2. Then f is

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

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

    |