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数学
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ln(1-x∧2)的等价无穷小
有个题,当X趋近于0时,(cos x)的(1/ln(1-x∧2))次方的极限答案是1/√e
人气:233 ℃ 时间:2020-04-11 12:44:20
解答
ln(1-x∧2)的等价无穷小﹣x²有个题,当X趋近于0时,(cos x)的(1/ln(1-x∧2))次方的极限=lim﹙1-2sin²﹙x/2﹚﹚^﹛[[2sin²﹙x/2﹚]/ln(1-x∧2﹚][1/2sin²﹙x/2﹚]﹜=﹙e^﹙﹣1﹚﹚^﹙﹣1/2﹚=√e答案错了?
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