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Unformatted text preview: [IMAGE] Admittedly, it takes as much work to show that [IMAGE] is irrational as that e is irrational. *** Postscript: After posting the solution above, I received two improvements based on Dattasharma’s solution and requiring no substantial mathematical knowledge. The first came from Thomas Teo. He observes that if [IMAGE] is irrational, then Dattasharma’s solution will suffice. On the other hand if that number is rational, that makes [IMAGE] irrational which when raised to the power of [IMAGE] will do the trick. Jan Siwanowicz offered a similar improvement. this page....
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This note was uploaded on 03/01/2010 for the course MATH 301 taught by Professor Albertodelgado during the Spring '10 term at Bradley.
- Spring '10