update notations and fix typos

This commit is contained in:
Zheyuan Wu
2025-02-25 20:41:35 -06:00
parent 419ea07352
commit 27bff83685
71 changed files with 920 additions and 430 deletions

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@@ -44,7 +44,7 @@ Note that **Theorem 2.41** only works for $\mathbb{R}^k$.
So by (b), $(p_n)$ converges to some $p\in \overline{B(0,R)}$.
EOP
QED
#### Definition 3.12
@@ -89,7 +89,7 @@ If $(s_n)$ is monotonic and bounded, then by previous result, $(s_n)$ converges.
If $(s_n)$ is monotonic and converges, then by **Theorem 3.2(c)**, $(s_n)$ is bounded.
EOP
QED
### Upper and lower limits