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If  then
  • a)
    f(x) is continuous on [0. 2]
  • b)
    f(x) is discontinuous on [0. 2] at countably many points
  • c)
    f(x) is discontinuous at uncountably many points
  • d)
Correct answer is option 'B,D'. Can you explain this answer?
Most Upvoted Answer
If thena)f(x) is continuous on [0. 2]b)f(x) is discontinuous on [0. 2]...
Thus f is discosntinous at x = 1/2
option (a) is not true.
The set  is set of points of discontinuties and A is countable set.
Option (b) is true and (c) is false
because set A has only one limit point 1 and value of function is 1 on x ∈ A
Option (d) is correct,
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If thena)f(x) is continuous on [0. 2]b)f(x) is discontinuous on [0. 2] at countably many pointsc)f(x) is discontinuous at uncountably many pointsd)Correct answer is option 'B,D'. Can you explain this answer?
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