Shashank posted an Question
September 05, 2020 • 18:52 pm 30 points
  • IIT JAM
  • Mathematics (MA)

If differentiability implies continuity , is the question correct?

if differentiability implies continuity , is the question correct?

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  • Anuj s. Best Answer

    solution yes question is correct

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    thank you for the solution but on differentiating sin (1/x) we will get cos (1/x) and than how will we calculate f'(0) if we have just cos (1/x ) without any x multiplied with it

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    sorry, but cos(1/x) is also discontinuous

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    sorry for my mistake

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    cos (infinity) lies between -1 to 1

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    if you want solution for cos , plz ask , i will give

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    solution, sorry for inconvenience

  • Srinath

    The derivative won't be continuous, because there will be a sin(1/x) term in it, which is not continuous.

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    will the function be differentiable?

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    How would it be differentiable, if it is not continuous?

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