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23.解: limf(x)?lim(x?1)?2 ?? x?1x?1 2 limf(x)?lim(x?1)?0 ?? x?1x?1 因为limf(x)?limf(x),所以f(x)在x?1处的不连续. ?? x?1x?1 24.解: k 3 因为ln(1?x)与x?x为等价无穷小量, k ln(1?x) 所以lim?1, 3 x?0 x?x 1 k? kk1 3 ln(1?x)xx 3 lim?lim?lim?1(分子分母同时除以x) 2 33 x?0x?0x?0 x?xx?x 3 x?1 11 所以k??0解得k?. 33 |
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