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False Proof – 2 = 4, As the Limit of an Infinite Power Tower
Jeremy Kun
DOI: 10.59350/bks85-50z50 (Mathematics)
Licence : CC BY
Résumé : Problem: Prove that $ 2 = 4$. Solution: Consider the value of the following infinitely iterated exponent: $$\displaystyle \sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\cdot^{\cdot^{\cdot}}}}}$$ Let $ a_n = \sqrt{2} \uparrow \uparrow n$, that is, the above power tower where we stop at the $ n$-th term.
Publié le 05 Mai. 2012