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# Mathematical coincidences

If someone would ask you to evaluate $$2^{2^2}$$, you will get the right answer regardless of the order in which you evaluate this expression. Do you know any similar mathematical coincidences, as I call them? They do not have to involve exponents.

Of course, things like $$0^{0^{0^{\dots}}}$$ or $$1^{1^{1^{\dots}}}$$ are not interesting.

Note by Tim Vermeulen
4 years, 6 months ago

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I don't remember any off the top of my head, but my calculus students used to find such mathematical coincidences all the time when solving odd-numbered homework problems from their textbook. =)

- 4 years, 6 months ago