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OpenStudy (anonymous):
Determine whether f'(0) exists. f(x)=8sin(8/x) x is not equal to zero. f(x)=0 when x=0.
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OpenStudy (turingtest):
f'(0) can only exist if the function is continuous at x=0. That is, does\[\lim_{x \rightarrow 0}f(x)=f(0)\]?
OpenStudy (anonymous):
no it doesn't. so f'(0) doesn't exist. thanks
OpenStudy (turingtest):
welcome
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