Well, the problem is...

how do I show that f(x)= x*sin(1/x) for 0<x<=1 and f(0)=0 is continuous on [0,1]?

Can anyone help me with this problem?

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- Oct 12th 2013, 08:11 AMRitaShow that x*sin(1/x) is continuous. Help~
Well, the problem is...

how do I show that f(x)= x*sin(1/x) for 0<x<=1 and f(0)=0 is continuous on [0,1]?

Can anyone help me with this problem? - Oct 12th 2013, 08:20 AMPlatoRe: Show that x*sin(1/x) is continuous. Help~
- Oct 12th 2013, 08:58 AMRitaRe: Show that x*sin(1/x) is continuous. Help~
I'm sorry, but why is that?

- Oct 12th 2013, 09:07 AMPlatoRe: Show that x*sin(1/x) is continuous. Help~