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

@@ -8,4 +8,14 @@ A sequence is defined as an ordered list of numbers.
 - Sequences exist that do not fall into either category, i.e, $a_n = (-1)^n$
 
 - If the terms of a sequence grow $\{a_n\}$ get arbitrarily close to a single number $L$ as $n$ grows larger, this is noted by writing:
-$
+$$\lim_{n\to\infty} a_n = L$$ OR
+$$ a_n \to L \text{ as } n \to \infty $$
+
+and say that $a_n$ *converges* to $L$. If no $L$ exists, we say $\{a_n\}$ *diverges*.
+
+# Properties of Sequences
+> The below properties assume two sequences are defined, $a_n \to L$ and $b_n \to M$
+1. $a_n + b_n \to L + M$
+2. $C*a_n \to CL$ 
+3. $a_n b_n \to LM$
+4.