[Grace-core] Names for the […] literal

Andrew P Black andrew.p.black at gmail.com
Thu Feb 4 09:57:22 PST 2016


Thank you, Lex.  You are quite right.  Let's cross series off of the list of possibilities.

	Andrew

On 4 Feb 2016, at 06:01 , 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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