关于高数等价无穷小的运算,错在哪里?根据x~sinx互为等价无穷小,按图中这样运算为什么是错误的?书上给的解释是:无穷小量b(x)与a(x)作比较的前提条件是a(x)不等于0,这里a(x)=x^2sin(1/x),当x取1/np
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![关于高数等价无穷小的运算,错在哪里?根据x~sinx互为等价无穷小,按图中这样运算为什么是错误的?书上给的解释是:无穷小量b(x)与a(x)作比较的前提条件是a(x)不等于0,这里a(x)=x^2sin(1/x),当x取1/np](/uploads/image/z/8919605-29-5.jpg?t=%E5%85%B3%E4%BA%8E%E9%AB%98%E6%95%B0%E7%AD%89%E4%BB%B7%E6%97%A0%E7%A9%B7%E5%B0%8F%E7%9A%84%E8%BF%90%E7%AE%97%2C%E9%94%99%E5%9C%A8%E5%93%AA%E9%87%8C%3F%E6%A0%B9%E6%8D%AEx%7Esinx%E4%BA%92%E4%B8%BA%E7%AD%89%E4%BB%B7%E6%97%A0%E7%A9%B7%E5%B0%8F%2C%E6%8C%89%E5%9B%BE%E4%B8%AD%E8%BF%99%E6%A0%B7%E8%BF%90%E7%AE%97%E4%B8%BA%E4%BB%80%E4%B9%88%E6%98%AF%E9%94%99%E8%AF%AF%E7%9A%84%3F%E4%B9%A6%E4%B8%8A%E7%BB%99%E7%9A%84%E8%A7%A3%E9%87%8A%E6%98%AF%EF%BC%9A%E6%97%A0%E7%A9%B7%E5%B0%8F%E9%87%8Fb%28x%29%E4%B8%8Ea%28x%29%E4%BD%9C%E6%AF%94%E8%BE%83%E7%9A%84%E5%89%8D%E6%8F%90%E6%9D%A1%E4%BB%B6%E6%98%AFa%28x%29%E4%B8%8D%E7%AD%89%E4%BA%8E0%2C%E8%BF%99%E9%87%8Ca%28x%29%3Dx%5E2sin%281%2Fx%29%2C%E5%BD%93x%E5%8F%961%2Fnp)
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