lim(x+2^x)^(1/x) x趋向于0
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lim(x+2^x)^(1/x) x趋向于0
这道题怎么做
这道题怎么做
![lim(x+2^x)^(1/x) x趋向于0](/uploads/image/z/15763651-43-1.jpg?t=lim%28x%2B2%5Ex%29%5E%281%2Fx%29+x%E8%B6%8B%E5%90%91%E4%BA%8E0)
ln[(x+2^x)^(1/x)]=ln(x+2^x)/x,利用L'Hospital法则,得limln(x+2^x)/x=ln2+1.所以最后结果为2e
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