How to show f′(0) exists for f(x)=e^{\frac{-1}{x^2}} \sin(\frac 1x) for

Michael Maggard 2022-01-14 Answered
How to show f′(0) exists for f(x)=e1x2sin(1x) for x0 and f(0)=0?
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Expert Answer

Hattie Schaeffer
Answered 2022-01-15 Author has 37 answers
Hint
|e1h2sin(1h)h||e1h2h|
limh0e1h2|h|
can be calculated with the substritution x=1|h|
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