Home
Class 12
MATHS
Find all points of discontinuity of f(x)...

Find all points of discontinuity of f(x) where f is defined by
`f(x) = {(x^3-3,if, x le 2),(x^3+1,if, x gt 2):}`.

Text Solution

Verified by Experts

The correct Answer is:
`x = 2` is the only point of discontinuity.
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    SUBHASH PUBLICATION|Exercise FIVE MARKS QUESTIONS WITH ANSWERS|15 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|6 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    SUBHASH PUBLICATION|Exercise THREE MARKS QUESTIONS WITH ANSWERS|28 Videos
  • CONSTRUCTIONS

    SUBHASH PUBLICATION|Exercise QUESTION|1 Videos
  • DETERMINANT

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|10 Videos

Similar Questions

Explore conceptually related problems

Find all points of discontinuity of f, where f is defined by f(x)={{:(x^(6)-2," if "x le1),(x^(2)," if "x gt 1):}

Find all points of discontinuity of f, where f is defined by f(x)={{:(2x^(3)+4," if "x le2),(x^(2)+2," if "x gt 2):}

Find all points of discontinuity of f, where f is defined by f(x)={(2x+3"," ,"if" xle2),(2x-3",","if "xgt2):}

The function is defined by f(x) = {(kx^3,if, x le 2),(3,if, x gt 2):} at x = 2 .

Find all the points of discontinuity on f defined by f(x)=|x|-|x+1|