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,
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)
从而f(x)连续
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