Thursday, 2 May 2019

sequences and series - Why is suminftyn=0left(frac12right)n=2?




I'm sorry if this is duplicated, but I can not find any answer to it.


Answer



the geometric series for |x|<1
1+x+x2+x3+....=11x
use x=0.5
1+12+122+123+...=1112=2


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