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[1][2] Greek mathematicians lived in cities spread around the shores of the ancient Mediterranean, from Anatolia to Italy and North Africa, but were united Mar 27, 2022 · 诸如此类的问题的确是极限中一大难点。 其实，这样的问题都是由于 不清楚或没有正确使用极限的运算法则 导致的。 我们先来回顾一下 极限运算法则： 当我们遇到比较复杂的极限， 希望先求出某部分 或 在某部分用等价无穷小替换 时，必须遵守以上法则。 21 hours ago · 文章浏览阅读71次。等价无穷小替换 在高数中求极限是非常重要的一块，求解极限有三板斧：等价无穷小，泰勒公式，洛必达法则。而等价无穷小并不是什么时候都能用的，对于初学者来说一般的结论是：等价无穷小计算只能乘除用，加减不要用。但是实际做题中有些题目在加减时替换能得到正确 求极限什么情况下可以在加减式中使用等价（无穷小）替换？ 之前在某一本书中看到的结论是不可以在加减法中使用等价替换。 最近在另一个老师的课上老师提出了这样的方法： 对于 A - B 型的极限，A 替换后为 a… 显示全部 关注者 813 Dec 1, 2025 · 主项未相消：替换后分子主项仍为 x ，未发生抵消。 误差项影响： x3o(x) = ∞ , 导致误差不可忽略。 结论：虽然结果同为 +∞ ，但替换引入了不可控的误差项，不合法。 求极限时各部分什么时候能拆出极限, 什么时候不能拆 Mar 3, 2021 · 在高等数学的极限部分，我们学习了利用等价无穷小解决七种未定式的方法。 然而在很多情况下，一些老师怕同学们混淆，便告诉同学们只能在乘除中利用等价无穷小，而在加减中是不能使用的。 Aug 17, 2024 · 等价无穷小的加减法替换需要满足极限条件的一致性。 2. Make a move and sell with Purplebricks, your estate agent near you. 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