I'm reading Differential and Integral Calculus by Piskunov, and found this another definition of limit (along with the $\epsilon$-$\delta$ definiton):
The topic just ends by stating that it is easy to prove that the two definitions are equivalent. I've been thinking of it for some time but without any progress. It is clear intuitively, but how can I prove this mathematically?
2026-04-07 19:03:33.1775588613
Prove that the $\epsilon$-$\delta$ definition of a limit is equivalent to this other definition
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