3 ms·
In an effort to understand what you mean by 'induction' and 'infinity', can you explain where induction comes up in the following standard definition of a limit
by concreteblock 5y ago
In an effort to understand what you mean by 'induction' and 'infinity', can you explain where induction comes up in the following standard definition of a limit:
"f has a limit L at x" means exactly that
"forAll epsilon>0 thereExists delta>0 such that if |x-y|<delta then |f(y)-L|<epsilon."
- javajosh 5y ago"forAll"
- concreteblock 5y agoOkay, I see a link to 'infinity' there, because there are infinitely many reals. Is that what you're going for? If so, the link seems irrelevant and in particular I don't see how this leads to circularity in the definition. Can you explain this further?