質問: lim〔n→∞〕(n/n+1)^n/2はどうなりますか?
回答: lim(n→∞)[{n/(n+1))^(n/2)}] =lim(n→∞)[(1/(1+1/n)^(n/2)] =lim(n→∞)[{(1+1/n)^n}^(-1/2)] =e^(-1/2) =1/√e ◀︎◀︎