## anonymous 4 years ago Determine whether f'(0) exists. f(x)=8sin(8/x) x is not equal to zero. f(x)=0 when x=0.

1. TuringTest

f'(0) can only exist if the function is continuous at x=0. That is, does$\lim_{x \rightarrow 0}f(x)=f(0)$?

2. anonymous

no it doesn't. so f'(0) doesn't exist. thanks

3. TuringTest

welcome