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