求极限(n+4/n+3)∧2n.n趋向于无穷大
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求极限(n+4/n+3)∧2n.n趋向于无穷大
![求极限(n+4/n+3)∧2n.n趋向于无穷大](/uploads/image/z/3718651-67-1.jpg?t=%E6%B1%82%E6%9E%81%E9%99%90%28n%2B4%2Fn%2B3%29%E2%88%A72n.n%E8%B6%8B%E5%90%91%E4%BA%8E%E6%97%A0%E7%A9%B7%E5%A4%A7)
=lim[1+1/(n+3)]^2n
= lim[1+1/(n+3)]^2(n+3)·lim[1+1/(n+3)]^(-6)
=e^2·1
=e^2
= lim[1+1/(n+3)]^2(n+3)·lim[1+1/(n+3)]^(-6)
=e^2·1
=e^2
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