(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Define f(x)=sin(x)sin(1/x) if x does not =0, and 0 when x=0.

Have to prove that f(x) is continuous at 0.

2. Relevant equations

We can use the definition of continuity to prove this, I believe.

3. The attempt at a solution

I know from previous homework assignments that sin(x) is continuous at 0, but sin(1/x) is not. Is there a way I can use this knowledge to help me solve this problem, or do I need to start from scratch? If I need to start from scratch, do I apply the definition of continuity?

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# Homework Help: Continuity, proving that sin(x)sin(1/x) is continuous at 0.

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