Divergent versus Convergent Series (See Comments for Explanation of Mathematical Error)
To enlarge image, click on it. To return to blog, click on back arrow.
2 comments:
Anonymous
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!
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, Cheers, Tom
2 comments:
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!
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,
Cheers,
Tom
Post a Comment