1/2 + 1/4 + 1/8 + 1/16 + ⋯
Its sum is
As with any infinite series, the infinite sum
is defined to mean the limit of the sum of the first n terms
as n approaches infinity. Multiplying sn by 2 reveals a useful relationship:
Subtracting sn from both sides,
As n approaches infinity, sn tends to 1.
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