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若 $\forall n \in N ^{+}, \exists \delta>0, \forall x \in\left(x_0-\delta, x_0\right) \cup\left(x_0, x_0+\delta\right),|f(x)-A| < \frac{1}{\sqrt{n}}$ ,则 $\lim _{x \rightarrow x_0} f(x)=A$.
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