设当X趋近0 时,ax^2 与 tan(x^2/4)为等价无穷小,求a

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设当X趋近0 时,ax^2 与 tan(x^2/4)为等价无穷小,求a
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设当X趋近0 时,ax^2 与 tan(x^2/4)为等价无穷小,求a
设当X趋近0 时,ax^2 与 tan(x^2/4)为等价无穷小,求a

设当X趋近0 时,ax^2 与 tan(x^2/4)为等价无穷小,求a
因为当x趋向于0时,tanx~x
所以tan(x^2/4)~x^2/4
因为ax^2 与 tan(x^2/4)为等价无穷小
所以x^2/4=ax^2
即a=1/4