The limit is the most important idea in calculus. Without it, calculus wouldn't have rigor. One of the things it does, e.g., is avoid division by zero. It also allows us to see a value a function can take on in a logical manner.
Wikipedia has a nice article about the limit:
https://en.m.wikipedia.org/wiki/Limit_(mathematics)
PhilX
Do you find the notion of the calculus limit logically satisfying?

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Re: Do you find the notion of the calculus limit logically satisfying?
mmmmm very satisfyingPhilosophy Explorer wrote: ↑Sat May 05, 2018 10:46 am The limit is the most important idea in calculus. Without it, calculus wouldn't have rigor. One of the things it does, e.g., is avoid division by zero. It also allows us to see a value a function can take on in a logical manner.
Wikipedia has a nice article about the limit:
https://en.m.wikipedia.org/wiki/Limit_(mathematics)
PhilX