求极限问题,用无穷小替换(1+x)^(1/n)-1~(1/n)x分子分母同时加减1然后无穷小替换[(1/2)x+(1/2)x]/[(1/3)+(1/3)x]=3/2如果不对,麻烦讲下错在哪,
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![求极限问题,用无穷小替换(1+x)^(1/n)-1~(1/n)x分子分母同时加减1然后无穷小替换[(1/2)x+(1/2)x]/[(1/3)+(1/3)x]=3/2如果不对,麻烦讲下错在哪,](/uploads/image/z/8580270-30-0.jpg?t=%E6%B1%82%E6%9E%81%E9%99%90%E9%97%AE%E9%A2%98%2C%E7%94%A8%E6%97%A0%E7%A9%B7%E5%B0%8F%E6%9B%BF%E6%8D%A2%281%2Bx%29%5E%281%2Fn%29-1%7E%281%2Fn%29x%E5%88%86%E5%AD%90%E5%88%86%E6%AF%8D%E5%90%8C%E6%97%B6%E5%8A%A0%E5%87%8F1%E7%84%B6%E5%90%8E%E6%97%A0%E7%A9%B7%E5%B0%8F%E6%9B%BF%E6%8D%A2%5B%281%2F2%29x%2B%281%2F2%29x%5D%2F%5B%281%2F3%29%2B%281%2F3%29x%5D%3D3%2F2%E5%A6%82%E6%9E%9C%E4%B8%8D%E5%AF%B9%2C%E9%BA%BB%E7%83%A6%E8%AE%B2%E4%B8%8B%E9%94%99%E5%9C%A8%E5%93%AA%2C)
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