Homework Solutions 1.
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1.
For any , let and .
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2.
For any , let ,
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3.
For any , let , .
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4.
Fix . Then we have so that if , then and . Then showing that is a Cauchy-sequence.
For any , let and .
For any , let ,
For any , let , .
Fix . Then we have so that if , then and . Then showing that is a Cauchy-sequence.