![五年制高职数学(第三册)](https://wfqqreader-1252317822.image.myqcloud.com/cover/610/31729610/b_31729610.jpg)
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习题 12.2
1.观察下列数列的变化趋势,若有极限,请指出极限值.
![](https://epubservercos.yuewen.com/49DD8E/17180252104501606/epubprivate/OEBPS/Images/img00039003.jpg?sign=1738894819-98AVBOlHOQymhClkB8mENlBaHlmVdeLg-0-f81273b07dd5d24b824a6e597300fe5b)
2.用你自己的语言解释下列等式:
(1),能否有f(2)=3?为什么?
(2)并且
,此时
是否存在?为什么?
3.根据给出的函数f(x)的图像(见图12-29),求下列极限或函数值:
![](https://epubservercos.yuewen.com/49DD8E/17180252104501606/epubprivate/OEBPS/Images/img00039009.jpg?sign=1738894819-sZimad10WM5UL4pUKewsddURAJ76KzBF-0-956af0146a8a7c99f1f5010b56a578dd)
4.根据给出的函数f(x)的图像(见图12-30),求下列极限或函数值:
![](https://epubservercos.yuewen.com/49DD8E/17180252104501606/epubprivate/OEBPS/Images/img00039011.jpg?sign=1738894819-1tVegW04u38A98HC9ziiGfv2uWzeBXe3-0-58d8e7c4f55e4ac994a94f9682c49422)
图 12-29
![](https://epubservercos.yuewen.com/49DD8E/17180252104501606/epubprivate/OEBPS/Images/img00039012.jpg?sign=1738894819-UkcKsSbYZzpqWp0BNRifXQftuM6gY3tp-0-868801366639af456d284309f33d7b2f)
图 12-30
![](https://epubservercos.yuewen.com/49DD8E/17180252104501606/epubprivate/OEBPS/Images/img00039013.jpg?sign=1738894819-0XUSKwfF1xp9mqpeiFBNsBuPN99X1I91-0-9354a7a5a9e8d999b9328fa137320b58)
5.考察下列函数,做出图像,并求指定点的极限:
![](https://epubservercos.yuewen.com/49DD8E/17180252104501606/epubprivate/OEBPS/Images/img00040001.jpg?sign=1738894819-DKNpBVgqUUVbIlsINNJmtXGqzWbEuoFU-0-b1b4d9eadf0a89dfde964f79e04e7a70)
(2)f(x)=|x|,x=0和x=1.