We express that a set $A$ is finite if and provided that there exists some $kinmathbb N$ these kinds of that there exists $fcolon Ato ninmathbb Nmid nCookie Configurations
Bhaskar VashishthBhaskar Vashishth 11.6k55 gold badges4444 silver badges9393 bronze badges $endgroup$ one 4 $begingroup$ Not everything convincing, considering that there are plenty of systems like infinite figures, so Probably the remedy need to be “it depends which infinity you're taking”. Other answers elaborate this. $endgroup$
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without the need of employing Taylor series. far more explicitly without using calculus. how can we know if a purpose can be expressed as sequence or not ?
Since the phrase "infinite" usually means "not finite", we start from the definition of "finite". Because we could verify
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$begingroup$ How can a good random variable $X$ which hardly ever normally takes on the worth $+infty$, have expected value $mathbb E [X] = +infty$?
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For "infinite/transfinite with respect to $ $", I imply use $R$ to interchange the common $leq$ in definition 6. It could be important and attention-grabbing to review this kind of thoughts on the overall $R$ On top of that. $endgroup$