Home
Class 12
MATHS
Find all point of discontinuity of f whe...

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

Text Solution

Verified by Experts

The correct Answer is:
`f` is continuous at `x = 2`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    OMEGA PUBLICATION|Exercise IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE|10 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS |11 Videos
  • APPLICATION OF INTEGRALS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions|16 Videos
  • DETERMINANTS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|20 Videos

Similar Questions

Explore conceptually related problems

Find all points of discontinuity of f, where f is defined by f(x) = {:{(x^(10) -1, if x le1),(x-5, if x>1):}

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

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

Find all points of discontinuity of f, where f is defined by f(x) = {:(-2,if xle -1),(2x,if- 1 1):}

Find all points of discontinuity of f, where f is defined by : f(x)={(|x|+3,,,,if x =3):}

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