This new formula is something else 😳
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Note, at 9:27, the n values should be minus 1 and the expression on the righthandside should be multiplied by 4. What I meant to write was:
n = 1: 4(1 - 1/3) ~= 2.66
n = 2: 4(1 - 1/3 + 1/5) ~= 3.42
n = 3: 4(1 - 1/3 + 1/5 - 1/7) ~= 2.89
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