- #1

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## Homework Statement

limit as x goes to 0 of x^2 sin(1/x)=0

## Homework Equations

Use delta-epsilon proof

## The Attempt at a Solution

So |f(x)-L|=|x^2 sin(1/x)|=|x^2||sin(1/x)| and I know that sin(1/x) is bounded by one. I am not sure how to finish because of the x^2.