Home
Class 12
MATHS
Find the points of discontinuity, if ...

Find the points of discontinuity, if any, of the following function: `f(x)={(x^4-16)/(x-2)\ \ \ ,\ \ \ if\ x!=2 16\ \ \ ,\ \ \ if\ x=2`

Text Solution

Verified by Experts

The correct Answer is:
x = 2
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5(b) (LONG ANSWER TYPE QUESTIONS (I))|17 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5(c) (SHORT ANSWER TYPE QUESTIONS)|34 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5(a) (SHORT ANSWER TYPE QUESTIONS)|52 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

Similar Questions

Explore conceptually related problems

Find the points of discontinuity,if any,of the following function: f(x)={(sin x)/(x),quad if x =

Find the points of discontinuity,if any,of the following function: f(x)={x^(10)-1,quad if quad x

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

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

Find the points of discontinuity, if any, of the following function: f(x)={|x|+3 , if xlt=-3-2x , if-3 3

Find the points of discontinuity,if any,of the following function: f(x)={(x^(4)-16)/(x-2)quad ,quad if quad x!=216quad ,quad if x=2

Find the points of discontinuity,if any,of the following function: f(x)={2xquad ,quad if quad x 1

Find the points of discontinuity, if any, of the following function: f(x)={-2 , if xlt=-1 2x , if-1

Find the points of discontinuity,if any,of the following function: f(x)={s in x-cos x,quad if quad x!=0-1,quad if x=0

Find the domain of the range of each of the following real functions: f(x)=(x^(2)-16)/(x-4)

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5(a) (LONG ANSWER TYPE QUESTIONS (I))
  1. Find the values of a and b such that the function defined by f(x) = ...

    Text Solution

    |

  2. Determine the constants 'a' and 'b' so that the function 'f' defined b...

    Text Solution

    |

  3. Determine the constants 'a' and 'b' so that the function 'f' defined b...

    Text Solution

    |

  4. If the function f(x)={{:(3ax+b,"for "xgt1),(" " 11,"when " x=1),(5...

    Text Solution

    |

  5. Find the values of 'a' and 'b' so that the following function is conti...

    Text Solution

    |

  6. Find 'a' and 'b' if the function : f(x)={{:((sinx)/(x)" , "-2lexlt0)...

    Text Solution

    |

  7. Determine the values of 'a' and 'b' such that the following function i...

    Text Solution

    |

  8. Let f(x)={{:((1-sin^(3)x)/(3cos^(2)x),"if "x lt(pi)/(2)),(a,"if "x=(pi...

    Text Solution

    |

  9. If the following function f (x) is continuous at x=0 , find the values...

    Text Solution

    |

  10. If f(x) {:(=x^(2)+ax+b", if "0 le x lt 2 ),(= 3x+2", i...

    Text Solution

    |

  11. Find all the points of discontinuity of the function 'f' defined by : ...

    Text Solution

    |

  12. Find all points of discontinuity of f, where f is defined byf(x)={|x|...

    Text Solution

    |

  13. Find all points of discontinuity of f, where f is defined byf(x)={2x+...

    Text Solution

    |

  14. Show that the function defined by f(x)" "=" "s in" "(x^2) is a cont...

    Text Solution

    |

  15. Show that the function defined by f(x)=cos(x^2)is a continuous functi...

    Text Solution

    |

  16. Show that the function defined by f(x) = | cos x |is a continuous fun...

    Text Solution

    |

  17. Show that the function 'f' given by : f(x)=|x|+|x-1|,x inR is cont...

    Text Solution

    |

  18. Discuss the continuity of the function of given by f(x)=+x-1|+|x-2|a t...

    Text Solution

    |

  19. Find the points of discontinuity, if any, of the following function...

    Text Solution

    |

  20. Discuss continuity of |x|.

    Text Solution

    |