微积分导函数连续当x不为0时,f(x)=x^2sin(1/x);当x=0时,f(x)=0,此函数在R上处处可导,但导函数在0点不连续如果去计算一下是的,当x不等于零时,导函数无法求极限得出x=0的倒数,在x=0点的导数只能按
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![微积分导函数连续当x不为0时,f(x)=x^2sin(1/x);当x=0时,f(x)=0,此函数在R上处处可导,但导函数在0点不连续如果去计算一下是的,当x不等于零时,导函数无法求极限得出x=0的倒数,在x=0点的导数只能按](/uploads/image/z/7107044-68-4.jpg?t=%E5%BE%AE%E7%A7%AF%E5%88%86%E5%AF%BC%E5%87%BD%E6%95%B0%E8%BF%9E%E7%BB%AD%E5%BD%93x%E4%B8%8D%E4%B8%BA0%E6%97%B6%2Cf%28x%29%3Dx%5E2sin%281%2Fx%29%3B%E5%BD%93x%3D0%E6%97%B6%2Cf%28x%29%3D0%2C%E6%AD%A4%E5%87%BD%E6%95%B0%E5%9C%A8R%E4%B8%8A%E5%A4%84%E5%A4%84%E5%8F%AF%E5%AF%BC%2C%E4%BD%86%E5%AF%BC%E5%87%BD%E6%95%B0%E5%9C%A80%E7%82%B9%E4%B8%8D%E8%BF%9E%E7%BB%AD%E5%A6%82%E6%9E%9C%E5%8E%BB%E8%AE%A1%E7%AE%97%E4%B8%80%E4%B8%8B%E6%98%AF%E7%9A%84%2C%E5%BD%93x%E4%B8%8D%E7%AD%89%E4%BA%8E%E9%9B%B6%E6%97%B6%2C%E5%AF%BC%E5%87%BD%E6%95%B0%E6%97%A0%E6%B3%95%E6%B1%82%E6%9E%81%E9%99%90%E5%BE%97%E5%87%BAx%3D0%E7%9A%84%E5%80%92%E6%95%B0%2C%E5%9C%A8x%3D0%E7%82%B9%E7%9A%84%E5%AF%BC%E6%95%B0%E5%8F%AA%E8%83%BD%E6%8C%89)
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