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retina · 2020-03-26, 17:57

Is (1 + 1 + 1 + 1 + 1 + 1 + ...) less than (1 + 2 + 3 + 4 + 5 + 6 + ...) ?

It would seem not.

Because 1 + 2 + 3 + 4 + 5 + 6 + ... = -1/12
https://www.youtube.com/watch?v=w-I6XTVZXww

I'm not sure if making a comparison like the above is valid. Perhaps I misunderstand comparisons of infinite sequences?

2020-03-26, 17:57	#1
retina Undefined "The unspeakable one" Jun 2006 My evil lair 59×103 Posts	Is (1 + 1 + 1 + 1 + 1 + 1 + ...) less than (1 + 2 + 3 + 4 + 5 + 6 + ...) ? Is (1 + 1 + 1 + 1 + 1 + 1 + ...) less than (1 + 2 + 3 + 4 + 5 + 6 + ...) ? It would seem not. Because 1 + 2 + 3 + 4 + 5 + 6 + ... = -1/12 https://www.youtube.com/watch?v=w-I6XTVZXww I'm not sure if making a comparison like the above is valid. Perhaps I misunderstand comparisons of infinite sequences?