I have just started my first real analysis course and we are using Spivak's Calculus. We have just started rigorous epsilon-N proofs of sequence convergence. I was trying to do some exercises from the textbook (chapter 22) but there doesn't seem to be any mention of epsilon-N in the solutions (apart from the first one). Are they still rigorous proofs or what? Can you rigorously prove that a sequence converges without appealing to the definition?(adsbygoogle = window.adsbygoogle || []).push({});

It would also be good if someone who had the text could take a quick look at the solutions to the exercises at the end of chapter 22 (third edition) and see what they think about them.

Thanks

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# Help with Spivak's treatment of epsilon-N sequence definition

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