How do Delta-Epsillon Proofs Work?

Answer 1

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The process depends a little bit on the limit you are trying to prove and there are lots of tricks. Basically you have to find an interval (delta) around some independent variable such that the dependent variable is within epsilon of the limit value.

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Answer 2

Here's a video explaining D-E proofs with a focus on making the algebra make sense.

https://youtu.be/oJdovSiU8K0