"∀x∈ℝ" 
We see geometric series so often that it's easy to lose sight of how elegant the proof actually is.pic.twitter.com/LQrvm9ScWi
-
-
- 3 more replies
New conversation -
-
-
this is beautiful
Thanks. Twitter will use this to make your timeline better. UndoUndo
-
-
-
Same idea on infinite series shows only possible value for the sum without doing partial sums first! Can also view sum as solving a fixed point equation then: S=1+xS and partial sums as fixed point iteration -- looks nicer with fixed ratio r as we view x as variable. Nice!
Thanks. Twitter will use this to make your timeline better. UndoUndo
-
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.