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Omni-MATH / For a real number r, set ‖r‖=min|r−n|:n∈Z, where |⋅| means the absolute value of a real number. 1. Is there a nonzero real number s, such that lim_(n→∞)‖(√(2)+1)^(n)s‖=0 ? 2. Is … · Discussion

Discussing For a real number r, set ‖r‖=min{|r−n|:n∈Z}, where |⋅| means the absolute value of a real number. 1. Is there a nonzero real number s, such that lim_(n→∞)‖(√(2)+1)^(n)s‖=0 ? 2. Is … · Omni-MATH

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