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Consider the function  . In this interval, the function is
  • a)
    continuous and differentiable
  • b)
    continuous but not differentiable
  • c)
    differentiable but not continuous
  • d)
    neither continuous nor differentiable
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider the function . In this interval, the function isa)continuous ...
It is continuous but not differentiable at x=0 as left hand limit will be negative while the right hand limit will be positive but for differentiation, both must be same.
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Consider the function . In this interval, the function isa)continuous and differentiableb)continuous but not differentiablec)differentiable but not continuousd)neither continuous nor differentiableCorrect answer is option 'B'. Can you explain this answer?
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