Differences

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--- functions [2015/12/14 10:35]
nikolaj
+++ functions [2015/12/16 13:14]
nikolaj
@@ Line 5: / Line 5: @@
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 === Discussion ===
+Caution 1: Man function definitions are implicit, sometimes secretly so. E.g. defining
-Caution: In the function Definition, the domain of the function, as well as variables in context, are stated quite broadly - it must be checked if the to-be-function would return a value for any given input.
+$f(x):=\sum_{n=0}^\infty\frac{(-1)^{3n}}{n!}z^n$
+is defining
+$f(x):=\lim_{m\to\infty}\sum_{n=0}^m\frac{(-1)^{3n}}{n!}z^n$
+and a Limit definition is always a Task to find said limit.
+Caution 2: In the function Definition, the domain of the function, as well as variables in context, are stated quite broadly - it must be checked if the to-be-function would return a value for any given input.
 In that sense, "Functions" really is "Partial functions", a priori, although I try to state good valid domains on AoC.