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math104-s22:s:aaronzaks [2022/02/19 01:12]
aaronzaks [Course Journal]
math104-s22:s:aaronzaks [2026/02/21 14:41] (current)
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 1. What does it mean to "realize" limsup as sup by supS = limsup + ε? 1. What does it mean to "realize" limsup as sup by supS = limsup + ε?
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 2. Why does the ratio test only require that limsup < 1, not that the ratio converges? 2. Why does the ratio test only require that limsup < 1, not that the ratio converges?
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 3. Is there a simpler technique for proving lim(an bn) = lim(an) lim(bn)? specifically with the inequalities, I found those confusing 3. Is there a simpler technique for proving lim(an bn) = lim(an) lim(bn)? specifically with the inequalities, I found those confusing
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 4. Do we ever have to apply the Dedekind cut in our proofs? Or was that just a construction to get us started with the reals? 4. Do we ever have to apply the Dedekind cut in our proofs? Or was that just a construction to get us started with the reals?
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 5. I understand that the rationals are countable, but what order is their enumeration? Does it matter? 5. I understand that the rationals are countable, but what order is their enumeration? Does it matter?
  
math104-s22/s/aaronzaks.1645233154.txt.gz · Last modified: 2026/02/21 14:43 (external edit)