Although I know a couple of proofs of the statement $$ \lim_{x \to 0 } \frac{\sin x}{x} = 1, $$ I would like to be able to come up with a proof using the definition of the limit (i.e. an $\epsilon$-$\delta$ proof). Here $x$ is in radians of course.
2026-03-29 03:45:12.1774755912
How to give an epsilon-delta proof of this limit statement?
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