Question

How do I make a convergent series that has a limit of pi?

Answer 1

there are a few listed here: http://www.geom.uiuc.edu/~huberty/math5337/groupe/expresspi.html

Answer 2

Thanks, but I have no knowledge of calculus and only a basic understanding of limits. I'm using the roots of complex numbers to form polygons within circles and I need to form a generalization on that sequence that has a max value of pi

Answer 3

in that case look here: http://en.wikipedia.org/wiki/Pi
under the section "Estimating the value" it talks about polygons

Answer 4

Also on that page look further down at "Antiquity"

Answer 5

For example, when I have z^3 - 1 and form a triangle when connecting my roots, the area of the figure is 1.3. With z^4 -1 the area is 2.

Answer 6

Yes! I need to prove something like that diagram on antiquity. But I don't know how to model the equation.

Answer 7

this might help: http://www.craig-wood.com/nick/articles/pi-archimedes/

Answer 8

basically search on google for "pi estimation archimedes"

Answer 9

If I post more values (the complex equation is z^n -1 where n is an element of K+), can anyone help me? I forgot how to model convergent series