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Cake day: July 9th, 2023

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  • I didn’t see the pattern either and had to look it up. Apparently, you can rewrite 1 + 1/(1+2) + 1/(1+2+3)+… as 2(1 - 1/2 + 1/2 - 1/3 +…+1/n - 1/(n + 1)) = 2(1 - 1/(n + 1))

    From there, the limit of 2 is obvious, but I guess you just have to build up intuition with infinite sums to see the reformulation.