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education/math/MATH1220 (calc II)/Sequences.md

@@ -47,4 +47,8 @@ Given the above series, we can define the following:
 - $S_1 = a_1 = \sum_{i=1}^\infty a_i$
 - $S_2 = a_1 + a_2 = \sum_{i=1}^2 a_i$ 
 - $S_n = a_1 + a_2 + ... = \sum_{i=1}^n a_i$
-- 
+- If the limit of $S_n$ as $S_n$ approaches $\infty$ converges to $L$, then we write:
+  $$\sum_{n=1}^\infty a_n = L$$
+and say that the sum converges to $L$. 
+
+## Examples