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oneandoneis2/xeno

Created April 20, 2017 17:18
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xeno
On the matter of "1 + 1/2 + 1/4 + 1/8..." really is the same as "two"
So, let's assign the answer (whatever it is) to x:
x = 1+ 1/2 + 1/4 + 1/8 + ...
Now let's take away one
x - 1 = 1/2 + 1/4 + 1/8 + ...
Now let's double both sides
2x - 2 = 1 + 1/2 + 1/4 + 1/8 + ...
Hey, that sequence on the right looks familiar! Let's substitute!
2x - 2 = x
And now add 2
2x = x + 2
And now subtract x
x = 2
QED
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