cauchy convergence criterion
cauchy convergence criterion
柯西收敛准则
以上为机器翻译结果，长、整句建议使用 人工翻译 。
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We proved the intermediate value theorem for continuous function at closed interval by constructing auxiliary sequence ingeniously and applying compact theorem as well as Cauchy convergence criterion.
通过巧妙地构造辅助数列，应用致密性定理、柯西收敛准则来证明闭区间上连续函数的介值性定理。
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