• 34_ ｢(1+1/n)˄n｣ is convergent
(1+1/n)˄n
= ｢n!/((n−i)!·i!)·1˄(n−i)·(1/n)˄i Σi=0,n｣
= ｢(1/i!)·n!/(n−i)!·(1/n˄i) Σi=0,n｣
= ｢(1/i!)·｢(n−j) Πj=0,i−1｣·(1/n˄i) Σi=0,n｣
= ｢(1/i!)·｢(n−j)/n Πj=0,i−1｣ Σi=0,n｣
= ｢(1/i!)·｢(1−j/n) Πj=0,i−1｣ Σi=0,n｣
< ｢(1/i!)·｢(1−j/(n+1)) Πj=0,i−1｣ Σi=0,n｣
< ｢(1/i!) ...
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