Limit && Countinuity Flashcards

1
Q

重要极限

A

见图片

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2
Q

求未定式极限的方法 –常见等价 1/4

A
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3
Q

求未定式极限的方法 –拆极限 2/4

A

注意:拆极限这部一定正确。因为如果是拆开后,极限存在,那就继续;不存在,那就说函数极限不存在。
下面看例题

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4
Q

求未定式极限的方法 –提前求极限 3/4

A
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5
Q

求未定式极限的方法 –洛必达 4/4

A

1.看看洛必达使用条件
2.学会用* *提出后者法**

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6
Q

求极限每一步都要知道当前函数变成什么类型了。

A
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7
Q

怎么求(无穷-无穷型)的极限?

A

通分

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8
Q

如何求 无穷次 的极限?

A
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9
Q

如何求 无穷 极限?

A
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10
Q

一道比较复杂的 无穷/0次方型题目

A

算极限时用了提前算极限的方法

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11
Q

如何利用夹逼定理求极限?

A
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12
Q

求极限方法归纳(无夹逼定理)
Tips :跟着序号的思路走

A
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13
Q

直接带入法求极限 的应用条件是什么呢?

A
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14
Q

怎么证明函数在某点连续呢?要分哪两类情况呢?

A
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15
Q

怎么判断间断点类型?第一类间断点是什么?第二类间断点是什么?

A
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16
Q

求(无穷 - 无穷)极限的特殊情况 :没有分母

A
17
Q

等价无穷小

A