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同阶无穷小与等价无穷小的判定

     

摘要

利用麦克劳林公式验证了两个无穷小函数为同阶无穷小的条件是它们在零点处的切线斜率之比为非零非1的常数,而两个无穷小函数为等价无穷小的条件是它们在零点处的切线斜率之比为1,并通过算例验证了结论的正确性。%The two infinitesimal functions are the same order infinitesimal when their tangent slope ratio for non-zero not 1 constants at zero,and the two infinitesimal functions are the equivalenc infinitesimal when their tangent slope ratio for constant 1 at zero,these conclusions are verified by the McLaughlin for-mula,and the correctness of these conclusions are proved by the examples.

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