Unformatted text preview: | a n i-a | ≥ ± for all i . 2. Explain why ( a n i ) must have a convergent subsequence: ( a n i j ) → ‘ . 3. Explain why ‘ 6 = a . 4. Explain why a subsequence of a subsequence is still a subsequence of the original ( a n ), and so step 3 above contradicts the hypotheses of the problem. 5. This completes the proof by contradiction....
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This note was uploaded on 11/07/2009 for the course MATH 3224 at Virginia Tech.