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Apparently I have become so geometric series-pilled that I view the identity 1/(1-(-1)) = 1/2 as accidental.

ꭓle Ormsby 𓆙@e-infinity.space

Both sides converge for |z|<1, the LHS happens to converge to 1/2 for z=-1, but the RHS does not: the product expansion needs lim z^{2^n} = 0 for convergence.

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