lim(1+1/(n+2))^n其中n趋近无穷
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lim(1+1/(n+2))^n其中n趋近无穷
lim(n→∞)(1+1/(n+2))^n=lim(n→∞)[1+1/(n+2)]^(n+2)*[n/(n+2)]
=lim(n→∞)[1+1/(n+2)]^(n+2)*[1/(1+2/n)]
=e^1=e
=lim(n→∞)[1+1/(n+2)]^(n+2)*[1/(1+2/n)]
=e^1=e
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