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math104-s22:s:fenmiao:start [2022/01/21 05:40] 12.164.156.194 [Jan 20th] |
math104-s22:s:fenmiao:start [2026/02/21 14:41] (current) |
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| * Two Construction of ${\mathbb R}$ from ${\mathbb Q}$: 1) Dedekind cut 2) Sequence in ${\mathbb Q}$ | * Two Construction of ${\mathbb R}$ from ${\mathbb Q}$: 1) Dedekind cut 2) Sequence in ${\mathbb Q}$ | ||
| * Completeness of ${\mathbb R}$ | * Completeness of ${\mathbb R}$ | ||
| - | * Archimedean | + | * Archaemedian |
| * Sequences and Limits | * Sequences and Limits | ||
| + | |||
| + | ==== Jan 25th ==== | ||
| + | * {{ : | ||
| + | * Properties on Convergent Sequence | ||
| + | * Operations on Convergent Sequence | ||
| + | * Useful Examples of Limit | ||
| + | |||
| + | ==== Jan 27th ==== | ||
| + | * {{ : | ||
| + | * Monotone Sequence | ||
| + | * lim sup and lim inf | ||
| + | * Graphical Trick of Recursive Sequence | ||
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| ===== Homework ===== | ===== Homework ===== | ||
| * {{ : | * {{ : | ||
| + | * {{ : | ||
| + | * {{ : | ||
| + | * {{ : | ||
| + | * {{ : | ||