# Infinite infinities!

Level pending

What is the sum of the following series?

S =(1 + 1/2 + 1/4 + 1/8 .....) + (1/2 + 1/4 + 1/8 + 1/16...) + (1/4 + 1/8 + 1/16 + 1/32....)......

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