I think delta-epsilon proofs make sense, they just take a little more getting used to with keeping track of the numbers. As always, I will have to do plenty of practice problems.
Back in calculus they felt backward for the reason that you can only do them if you have a sense of what the limit is and there never seemed much reason to prove it otherwise. Though now it makes a lot more sense why we would want to approach limits from a delta-epsilon perspective.
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