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Does This Sequence Converge in the 5-adic Metric?
starting with this j_n^2+1 where n=1 which is 2 from the first term from the given sequence gives |22 +1| = |5|5 factored out 5 once. repeated for the next term n=2, which gives |1025|5 where 5 could be factored out twice. repeated for the next term |335544322+1| which could be...- rednalino
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- Forum: Calculus and Beyond Homework Help
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Does This Sequence Converge in the 5-adic Metric?
Metric Space and Topology HW help! Let X be a metric space and let (sn )n be a sequence whose terms are in X. We say that (sn )n converges to s \ni X if \forall \epsilon > 0 \exists N \forall n ≥ N : d(sn,s) < \epsilon For n ≥ 1, let jn = 2[(5^(n) - 5^(n-1))/4]. (Convince yourself...- rednalino
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- Metric Metric space Space Topology
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- Forum: Calculus and Beyond Homework Help