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If a function f(x) is defined as f(x) = , then
  • a)
    f(x) is continuous at x = 0, but not differentiable at x = 0
  • b)
    f(x) is continuous as well as differentiable at x = 0
  • c)
    f(x) is discontinuous at x = 0
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If a function f(x) is defined as f(x) =, thena)f(x) is continuous at x...
We have f(x) = 
Clearly, f(x) is not continuous at x = 0.
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If a function f(x) is defined as f(x) =, thena)f(x) is continuous at x = 0, but not differentiable at x = 0b)f(x) is continuous as well as differentiable at x = 0c)f(x) is discontinuous at x = 0d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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