I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!
this post was submitted on 06 Jan 2024
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Theoretically, yes. Functionally, no. When you go to pay for something with your infinite bills, would you rather pay with N number of 100 dollar bills or get your wheelbarrow to pay with 100N one dollar bills? The pile may be infinite, but your ability to access it is finite. Ergo, the "denser" pile is worth more.
Yeah, this is what it comes down to. In calculus, infinity doesn't exist, you just approach it when you take the limit. You'll approach it "quicker" with the 100 dollar bills, so to speak
You're thinking of a different calculus problem in this case we are comparing the growth rate of
100*\infty vs \infty. In calculus, you cannot accelerate the growth of \infty. If you put\infty / \inftyyour answer will beundefined(you can double check with Wolfram), similarly, if you put100*\infty / \infty, you will also getundefined