设函数f(x)=√|x|sin(1/x^2) (x≠0) ,f(x)=0 (x=0),则f(x)在x=0处极限存在吗,
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![设函数f(x)=√|x|sin(1/x^2) (x≠0) ,f(x)=0 (x=0),则f(x)在x=0处极限存在吗,](/uploads/image/z/5349546-18-6.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%3D%E2%88%9A%7Cx%7Csin%EF%BC%881%2Fx%5E2%EF%BC%89+%28x%E2%89%A00%29+%2Cf%28x%29%3D0+%28x%3D0%29%2C%E5%88%99f%28x%29%E5%9C%A8x%3D0%E5%A4%84%E6%9E%81%E9%99%90%E5%AD%98%E5%9C%A8%E5%90%97%2C)
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设函数f(x)=√|x|sin(1/x^2) (x≠0) ,f(x)=0 (x=0),则f(x)在x=0处极限存在吗,
设函数f(x)=√|x|sin(1/x^2) (x≠0) ,f(x)=0 (x=0),则f(x)在x=0处极限存在吗,
设函数f(x)=√|x|sin(1/x^2) (x≠0) ,f(x)=0 (x=0),则f(x)在x=0处极限存在吗,
x->0 时 √|x| ->0 而sin(1/x^2) 有界 所以 lim f(x)=0 (x->0)
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