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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 " | 1. What does it mean to " | ||
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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, | 3. Is there a simpler technique for proving lim(an bn) = lim(an) lim(bn)? specifically with the inequalities, | ||
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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? | 5. I understand that the rationals are countable, but what order is their enumeration? | ||