[Grace-core] Names for the […] literal
Kim Bruce
kbbruce47 at gmail.com
Thu Feb 4 08:32:24 PST 2016
I’m afraid Lex is right. Probably better not use series.
Kim
> On Feb 4, 2016, at 6:01 AM, Lex Spoon <lex at lexspoon.org> wrote:
>
> Be careful with "series", because math teachers are often pedantic
> about that word. Specifically, a series is a sum of a sequence. Such
> teachers go on to ask tricky questions, to make their students
> devoutly promise to believe in the difference between sequences and
> series, and to make them carefully answer many tricky questions that
> rely on understanding that difference.
>
> For example, the sequence {1, 1/2, 1/4, 1/8, ...} converges to 0.
> The series 1 + 1/2 + 1/4 + ... converges to 2.
>
> The sequence {1, 3/2, 5/4, 9/8, ...} converges to 1.
> The series 1 + 3/2 + 5/4 + ... doesn't converge.
>
> Lex
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