Prove that a sequence { {a_n} } does not converge to the number a if and only if there is some &
Question: #2) Prove that a sequence \(\left\{ {{a}_{n}} \right\}\) does not converge to the number a if and only if there is some \(\varepsilon >0\) and a subsequence \(\left\{ {{a}_{{{n}_{k}}}} \right\}\) such that
\[|{{a}_{{{n}_{k}}}}-a|\ge \varepsilon \]for every index k.
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Answer: The answer consists of 1 page
Deliverable: Word Document
Deliverable: Word Document
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Math Solutions
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