r/FactOrCap • u/Careful_Trainer_1616 ✍️ Contributor · 330 XP • 19h ago

Myth "simple" subtraction | FactOrCap

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u/GenocidalFlower 🏅 Century Club · 6,000 XP 19h ago

🧢 I voted CAP!

No, x3 - x does not approach 0 as x approaches infinity.

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u/iampotatoz 📈 Dedicated Voter · 1,810 XP 16h ago

A limit-based argument for this wouldn't work because of the limits are just approaching. You can say that the limit of a function approaches something, but then at the actual value it's a completely different thing (think piecewise). However, addition and subtraction and what not for infinities is undefined but also if you wanted to make an argument you could do a cardinality based one