Infinite geometric series formula derivation ask question asked 12 years, 7 months ago modified 4 years, 9 months agoWhy is the infinite sphere contractible?I know a proof from hatcher p.88, but i don't understand how this is possible.I really understand the statement and the proof, but in my imagination thisInfinite decimals are introduced very loosely in secondary education and the subtleties are not always fully grasped until arriving at university.By the way, there is a group of very strict mathematicians …
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Our Campus | Sweetwater.com of Infinite Campus Sweetwater: The System Is FLAWED, And Kids Are Suffering. .

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What do finite, infinite, countable, not countable, countably infinite mean?[duplicate] ask question asked 13 years, 2 months ago modified 13 years, 2 months agoAll three integrals are divergent and infinite and have the regularized value zero, but two of them are equal but not equal to the third one.In other cases of divergent integrals or series, the regularized …For many infinite-dimensional vector spaces of interest we don't care about describing a basis anyway;They often come with a topology and we can therefore get a lot out of studying dense subspaces, …