函數的連續性在微分學中是非常重要的條件，一個函數可微分的前提就是函數必須要在實數中具有連續的性質，學習微分除了極限外，函數的連續性也是絕對的先修單元。根據實數的完備性，連續性部分也引伸出中間值與非常有用的勘根定理。
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