- #1

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- 0

## Homework Statement

Calculate [tex]\mathop {\lim }\limits_{x \to 0 } x^2 \sin \frac{1}{x}[/tex]

## Homework Equations

"product law" of limits I think

## The Attempt at a Solution

I took a guess at 0, as 1/x would become very large as x goes to 0, so sin would become a maximum of 1 but [tex]x^2[/tex] would become 0.

Is this actually the correct way to solve this limit problem? How should I actually express the answer, just put 0 or is there some intermediate working that can be shown?