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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=1739966037-IhvXwOub2KK76NyUJapWCmPpzAa7QiN9-0-f8da8a1748c45e1abaef600d49d8b748)
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P24_23472.jpg?sign=1739966037-m9rAr0CPBiEQ7tdEfrveQiVv63Fcevcy-0-7fe8be773dd9f891203c08c1cc1df0da)
执行结果
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P24_23475.jpg?sign=1739966037-aOdOa0VJ9CRFZQgZISF1cmpxrqr0hgNG-0-f66ae49ce4a82699d4e8c4dc0984554b)
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=1739966037-2s3yVLzim9hjWYBaMlu1SL9V8fPGaKpm-0-d8f82f9e600b968b9d259fa0fbcbf130)
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P24_23479.jpg?sign=1739966037-hh8p6ac6r8rxUGQdMhko4hoKI7DTmvio-0-21d1413034a398a06de752713c801653)
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P24_23480.jpg?sign=1739966037-L6Y53WFwMyZVkvjQZMeS5ZdszLfJ5J5y-0-b26126e7a6e2db15dc0e2c3e1e04e1ea)
执行结果
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P24_23483.jpg?sign=1739966037-7vVtKsHcSOf80SIg1v33wHCIM1frSE2d-0-a74801432a803f1713d8c98fb7be600c)