lim(x趋向0)ln(1+2x)/(e^sinx-1)
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lim(x趋向0)ln(1+2x)/(e^sinx-1)lim(x趋向0)ln(1+2x)/(e^sinx-1)lim(x趋向0)ln(1+2x)/(e^sinx-1)等价无穷小x->0,ln(1+2
lim(x趋向0)ln(1+2x)/(e^sinx-1)
lim(x趋向0)ln(1+2x)/(e^sinx-1)
lim(x趋向0)ln(1+2x)/(e^sinx-1)
等价无穷小
x->0,ln(1+2x)~2x
e^sinx-1~sinx~x
所以lim x->0,ln(1+2x)/(e^sinx-1)=lim2x/x=2
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