update notations and fix typos
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@@ -99,7 +99,7 @@ _The $\epsilon$ bound would not hold if we only had pointwise convergence._
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$|f_N(x) - f_N(p)| < 3\epsilon$.
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EOP
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QED
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> Recall: If $(s_n)$ is a sequence in $\mathbb{R}$, then $(s_n)$ converges to $s$ if and only if it is Cauchy.
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> i.e. $\forall \epsilon > 0$, $\exists N\in \mathbb{N}$, $\forall n, m\geq N$, $|s_n - s_m| < \epsilon$.
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@@ -147,7 +147,7 @@ $$
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\end{aligned}
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$$
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EOP
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QED
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Example:
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