The Diagonal Paradox
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Consider the stepped line . As goes to infinity, approaches the hypotenuse of the isosceles right triangle that has length . So the length of the limit of is . Is this right?
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Contributed by: Izidor Hafner (January 2016)
Open content licensed under CC BY-NC-SA
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[1] E. P. Northrop, Riddles in Mathematics, A Book of Paradoxes, Mineola, NY: Dover Publications, Inc., 2014 pp. 138–139.
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