All 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 … An infinite subset of a countable set is countable i was going through rudin when i encountered the proof for every infinite subset of a countable set is countable. Why is the infinite sphere contractible?
Understanding the Context
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 this Infinite 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 …
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