Posted by **Anonymous** on Wednesday, October 7, 2009 at 10:47am.

Determine whether f '(0) exists.

f(x) = {xsin(10/x) if x can not = 0

0 if x=0

- calculus -
**bobpursley**, Wednesday, October 7, 2009 at 11:57am
consider the function g(x)=sin(10x)/x as x>>inf clearly this has a limit of zero.

Is this not the same function in the limit as f(x)?

- calculus -
**bobpursley**, Wednesday, October 7, 2009 at 11:59am
You can prove that limx>0 of (f(x)=limx>inf f(1/x)

I should have made that clear.

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