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coralgnat638Lv1

6 Nov 2019

# USE HINT INFORMATION AND SYMBOLS:

Prove that for any given x R, there is a sequence {gn} of rational numbers which converges to x. You must first construct the sequence {qn}. Then you must prove that {qn} rightarrow x. To construct {qn}, for each n 1, let an = x - 1/n and bn = x + 1/n. Then use the Archimedean property: Show transcribed image text

USE HINT INFORMATION AND SYMBOLS:

Prove that for any given x R, there is a sequence {gn} of rational numbers which converges to x. You must first construct the sequence {qn}. Then you must prove that {qn} rightarrow x. To construct {qn}, for each n 1, let an = x - 1/n and bn = x + 1/n. Then use the Archimedean property:

Show transcribed image text