Examples. Justify your answers briefly. (c) Give an example of a Cauchy sequence of complex numbers. (d) Give the Dedekind cut corresponding to 2√2. Your answer should not refer directly to any irrational numbers. Of which part of the cut is the rational number 14/5 a member? (e) Give an example of a decreasing divergent sequence. What is its lim sup?

Examples. Justify your answers briefly. (c) Give an example of a Cauchy sequence of complex numbers. (d) Give the Dedekind cut corresponding to 2√2. Your answer should not refer directly to any irrational numbers. Of which part of the cut is the rational number 14/5 a member? (e) Give an example of a decreasing divergent sequence. What is its lim sup?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 2E

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