lim(1+2/x)^x+3 x→无穷大 求极限
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lim(1+2/x)^x+3 x→无穷大 求极限
![lim(1+2/x)^x+3 x→无穷大 求极限](/uploads/image/z/4456607-23-7.jpg?t=lim%281%2B2%2Fx%29%5Ex%2B3+x%E2%86%92%E6%97%A0%E7%A9%B7%E5%A4%A7+%E6%B1%82%E6%9E%81%E9%99%90)
lim{x→inf.}(1+2/x)^x+3
= lim{x→inf.}[(1+2/x)^3]*lim{x→inf.}(1+2/x)^x
= 1*e^2
= e^2
= lim{x→inf.}[(1+2/x)^3]*lim{x→inf.}(1+2/x)^x
= 1*e^2
= e^2
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