User talk:FredrikMeyer

Welcome!

Hello, FredrikMeyer, and welcome to Wikipedia! Thank you for your contributions. I hope you like the place and decide to stay. Here are some pages that you might find helpful:

The five pillars of Wikipedia
Tutorial
How to edit a page and How to develop articles
How to create your first article (using the Article Wizard if you wish)
Manual of Style

I hope you enjoy editing here and being a Wikipedian! Please sign your messages on discussion pages using four tildes (~~~~); this will automatically insert your username and the date. If you need help, check out Wikipedia:Questions, ask me on my talk page, or ask your question on this page and then place {{helpme}} before the question. Again, welcome!

Math notation style and a question[edit]

You wrote:

The square root of two can also be used to approximate $\pi$ :

$2^{m}{\sqrt {2-{\sqrt {2+{\sqrt {2+...+{\sqrt {2}}}}}}}}\to \pi \,$ as $m\to \infty \,$

I changed it to read as follows:

The square root of two can also be used to approximate π:

2^{m}{\sqrt {2-{\sqrt {2+{\sqrt {2+\cdots +{\sqrt {2}}}}}}}}\to \pi {\text{ as }}m\to \infty .\,

Style conventions state that:

"Displayed" math notation, whether in TeX or not, should be indented by a preceeding colon;
\dots or \ldots or \cdots should be used rather than "...". I used \cdots because it's between two binary operators, the two plus signs (this convention applies not just within Wikipedia but more generally).
I put the word "as" within \text in TeX. This does not generally apply outside of Wikipedia, but text outside of the math tags often fails to align properly, or match in size, with the material within math tags. This may be browser dependent, so I don't know how these things appear on your browser. For a similar reason I used non-TeX notation for the pi on the previous line.
I also added a period at the end of the sentence.

See Wikipedia:Manual of Style (mathematics) for more on such matters.

Now my question: What is the pattern under the radical? I presume the expression depends on m. I also don't know the pattern of plus and minus signs. Michael Hardy (talk) 18:41, 12 June 2009 (UTC)[reply]

OK, I've just done some numerical work and it seems to bear out the asserted limit. Can you cite a book or paper where one finds a proof? Michael Hardy (talk) 23:09, 15 June 2009 (UTC)[reply]