lim(x趋向于1)lnx/(1-x)怎么解?
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lim(x趋向于1)lnx/(1-x)怎么解?
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![lim(x趋向于1)lnx/(1-x)怎么解?](/uploads/image/z/19479504-48-4.jpg?t=lim%28x%E8%B6%8B%E5%90%91%E4%BA%8E1%29lnx%2F%281-x%29%E6%80%8E%E4%B9%88%E8%A7%A3%3F)
原式=lim(x→1) ln(1+x-1)/(1-x)
=lim(x→1) (x-1)/(1-x)
=-1
=lim(x→1) (x-1)/(1-x)
=-1
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