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If f(x) =  then
  • a)
    f is continuous at x = 0
  • b)
    f is continuous at x = 0, but not differentiable at x = 0
  • c)
    f is differentiable at x = 0
  • d)
    f is not continuous at x = 0
Correct answer is option 'A,C'. Can you explain this answer?
Verified Answer
If f(x) =thena)f is continuous at x = 0b)f is continuous at x = 0, but...
Check continuity at x = 0
f(0) = 0


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If f(x) =thena)f is continuous at x = 0b)f is continuous at x = 0, but...
Check continuity at x = 0
f(0) = 0


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If f(x) =thena)f is continuous at x = 0b)f is continuous at x = 0, but not differentiable at x = 0c)f isdifferentiable at x = 0d)f is not continuous at x = 0Correct answer is option 'A,C'. Can you explain this answer?
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