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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=1738829293-cHJvdZiln4noJBdobdC2IHRQJEw7irlA-0-113aa85ce242dbb19a4260c5bd5743aa)
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P24_23472.jpg?sign=1738829293-8d9ONGNAdFhfvDgN0p6w7l8XVLerDCom-0-138886408ff861b42f97a158d1771cbf)
执行结果
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P24_23475.jpg?sign=1738829293-7FI8xrg2AlaNIpIMwEu6SxBGCbU6eXRV-0-e1b1db106496582fe5822a5c0031c745)
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=1738829293-AfodWoTB0RUfN3wXFVxiTx1HwtGWreJm-0-fac0ef466349364b7ad3eae7f45429c7)
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P24_23479.jpg?sign=1738829293-K7Kfu6nESMxDKcwfjB5p4sBXVVJcC4qY-0-1167a06f851bcd4c058e1be723a494f1)
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P24_23480.jpg?sign=1738829293-yoWQnJytjQTOy3APuOVg9dL86iTCCxpN-0-a27f5fc960fb21bbc10e8005670487a8)
执行结果
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P24_23483.jpg?sign=1738829293-ZXoi6FrMWch9w2AXadhsvhivNPCLCMZu-0-227881d50a0383631435f41b885dd2d2)