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最初は1/2です! n/(n+1)! =[(n+1)-1]/(n+1)! =(n+1)/(n+1)! -1/(n+1)! =1/n! -1/(n+1)! だから=1/1! -1/2! +…… +1/n! -1/(n+1)! =1-1/(n+1)!
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