- #1
michonamona
- 122
- 0
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