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S = 1 + 2 + 4 + 8 + 16 + ...
S = 1 + 2 ( 1 + 2 + 4 + 8 + 16 + ...)
S = 1 + 2 S
S = -1
but the thing is, it's a divergent series, so it doesn't really have a finite sum as such, like a convergent series. -1 is the Euler Sum of the series, which is suitable for convergent series. Correct me if I'm ...
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S = 1 + 2 + 4 + 8 + 16 + ...
S = 1 + 2 ( 1 + 2 + 4 + 8 + 16 + ...)
S = 1 + 2 S
S = -1
but the thing is, it's a divergent series, so it doesn't really have a finite sum as such, like a convergent series. -1 is the Euler Sum of the series, which is suitable for convergent series. Correct me if I'm ...