diff --git a/pages/Math4111/Math4111_L22.md b/pages/Math4111/Math4111_L22.md index 5986481..8ee3f28 100644 --- a/pages/Math4111/Math4111_L22.md +++ b/pages/Math4111/Math4111_L22.md @@ -71,9 +71,7 @@ $$ > > $I(9)=\{1,2,\dots,9\}$, $J(9)=\{1,2,4,3,6,8,5,10,12\}$, $I(9)\backslash J(9)=\{7,9\}$, $J(9)\backslash I(9)=\{10,12\}$. > ->$$ -|s_9 - t_9| \leq |a_7|+|a_9|+|a_{10}|+|a_{12}| \leq \sum_{k=7}^{12} |a_k| < \epsilon -$$ +>$$ |s_9 - t_9| \leq |a_7|+|a_9|+|a_{10}|+|a_{12}| \leq \sum_{k=7}^{12} |a_k| < \epsilon $$ This proves that $\lim_{n\to\infty} |s_n - t_n| = 0$.