My friend and i were discussing infinity and stuff about it and ran into some disagreements regarding countable and uncountable infinity. Feb 4, 2023in some of these infinite-dimensional vector spaces, when they're normed, there may be schauder bases , where we have infinite sums, which require a notion of convergence. Kind of, because i can keep going around infinitely.
This is why people say that 1 / 0 "tends to" infinity - we can't really use infinity as a. Aug 7, 2014'every infinite and bounded part of admit at least one accumulation point' because for me a set is either bounded so finite or infinite so unbounded. Nov 17, 2024how to solve dice problem using infinite series and combinations?
Some authors explicitly work over the extended real line with ±∞ ± ∞ adjoined, so that such infinite limits do explicitly "exist" as first-class values. 16 once you have the necessary facts about infinite sets, the argument is very much like that used in the finite-dimensional case. Nov 28, 2018i am in need of examples of infinite groups such that all their respective elements are of finite order.
The term "infinite limit" is actually an oxymoron, like "jumbo shrimp" or "unbiased opinion". However, it is okay to write down "lim f (x) = infinity" or "lim g (x) = -infinity", if the given. I agree that zeno's paradox is basically an example of how there can be infinitely many intervals in a finite period of time.