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All are equivalent but which among the following versions was due to Archimedes as recalled in his works by a mathematician in 1880's

All are equivalent but which among the following versions was due to Archimedes as recalled in his works by a mathematician in 1880's

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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10. All are equivalent but which among the following versions was due to Archimedes as recalled in his works by a mathematician in 1880's?
10. All are equivalent but which among the following versions was due to Archimedes as recalled in his works by a mathematician in 1880's? The set N of natural numbers is unbounded above. For each real number x, there exists a natural number n such that n > x. For each positive real x, and for each real number y, there is a natural number n such that nx > y. For each positive real x, there is a natural number n such that 0 < 1/n < x. None of the above
Transcribed Image Text:10. All are equivalent but which among the following versions was due to Archimedes as recalled in his works by a mathematician in 1880's? The set N of natural numbers is unbounded above. For each real number x, there exists a natural number n such that n > x. For each positive real x, and for each real number y, there is a natural number n such that nx > y. For each positive real x, there is a natural number n such that 0 < 1/n < x. None of the above
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