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Jul 25, 2018 at 7:42 comment added user797 If I were to introduce alternate notation, I think I would use $a_\infty$. It's convenient and compact notation that is actually used by mathematicians, and it might help drive home the point that students often miss that the limit is just a number, not some ephemeral, varying thing (and related misconceptions about $\infty$). It also seed the ideas of continuous extension and of extended real numbers. The main drawback I can see is that teachers in future classes might be uncomfortable with the notation.
Jul 24, 2018 at 14:46 history edited Xander Henderson CC BY-SA 4.0
deleted 3 characters in body
Jul 24, 2018 at 14:36 comment added user5402 +1. Simple things first. Sequences -> continuity -> limits -> derivatives...
Jul 24, 2018 at 1:00 history edited Daniel R. Collins CC BY-SA 4.0
A few typo fixes
Jul 23, 2018 at 22:29 history answered Xander Henderson CC BY-SA 4.0