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## Homework Statement

Prove that the [tex]lim_{n\rightarrow0}sin(\frac{1}{x}) = DNE [/tex]

## Homework Equations

## The Attempt at a Solution

In this case we have:

For every epsilon there exists a delta such that:

[tex]|x|<\delta[/tex] implies [tex]|sin(\frac{1}{x})|<\epsilon[/tex]

I know that [tex]|sin(\frac{1}{x})|\leq1[/tex]. I'm not sure how to proceed after this point.

I appreciate your help.

M