Obvious Theorems (Which Are False)

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Riemann was one smart cookie, that's for sure.

GlorifiedTruth
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That was so mind boggling to learn in the calculus course. Still have nightmares from those classes

guilhermemotapereira
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I originally learned about Reimann’s rearrangement theorem in calculus 2 when our instructor showed it, but he never told us the name of the theorem because I doubt he expected us to ever really look into it further. Truly fascinating, infinite series is what made me love math.

exor
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I've noticed that if you group the terms into some kind of blocks and rearrange the terms within the groups and both versions converge, they do to the same value

orisphera
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We can have an equation of infinite series?

Example: 1 + 1/2 + 1/4 + ... = 1 - 1/(x +1) + 1/(x+2) - 1/(x+3) + ...

jpvefa
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yeah things about infinity are weird and paradoxal

pauselab
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Bri I love your videos! What program do you use to animate these?

breakoff