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2-4 极限计算与Sympy模块
在笔者著作《机器学习数学基础一本通(Python版)》中,2-5节说明了Sympy模块,这个模块可以计算极限,相关概念如下:
limit(函数, variable, point)
此外,我们需了解极限计算中无限大表达方式,可以使用下列2种:
float('int')或
oo # 2个小写o,这是Sympy模块的无限大值
程序实例ch2_6.py:验证下列高粱酒的稀释公式:
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P23_22977.jpg?sign=1739260684-4jXSGfM5XTsrOl4yve3F6oaSusHL2RpF-0-e2571dc3489da0576b67c5612f1aeaa9)
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P24_23472.jpg?sign=1739260684-elATyh3L1JS3Dx9kylrdRUxpZRipMEOx-0-d0ae0e76a6dd1a20885f2f57235d5bd3)
执行结果
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P24_23475.jpg?sign=1739260684-bU6h8IT7fMCtPlPOts0JD1tokUObWEyE-0-d2e12d670a48c38d40b0b08e0febc713)
程序实例ch2_7.py:验证下列公式,其重点是从左边趋近于0,我们可以在limit()函数内增加dir ='-'参数。
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P24_23478.jpg?sign=1739260684-CwZoI7UUH4B1QhqMAAD4otk2d6dGpVQX-0-44d69b0ae542d1db7d1c1ec440386f66)
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P24_23479.jpg?sign=1739260684-1HyIDXt0iy9rcr5G3TrSozGjL1LyxHVh-0-3fefe5a69179aff644712c75f305c1ca)
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P24_23480.jpg?sign=1739260684-vIZsU4Ep0ctw4Vjk3AVX7xspnV00cMpc-0-16a877d1f01b74cf27b8c2bd86f67508)
执行结果
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P24_23483.jpg?sign=1739260684-UZR7OlMcjBDWYJE9PQ0htqwmTCJ1GAuS-0-6ce5bec17435491242b2876603c310e6)