Monday, July 6, 2009

Divergent versus Convergent Series (See Comments for Explanation of Mathematical Error)

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intrinsicallyknotted said...

Love the idea, except I think you meant either "1/2 + 1/4 + 1/8 + …" or "1/2, 3/4, 7/8, …". The series you drew certainly doesn't come crashing into a limit of 1, although the intent is perfect!

TomC said...

Hi IntrinsicallyKnotted,
You're absolutely right of course!
I think the aesthetic attraction of putting "+"'s rather than ","'s made me forget the math!.
Thanks for the comment!
Have a great summer,