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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=1739085917-nG6aVbaOhRhiltnWhBOqQPpaoiJJXID7-0-d144980277455e7c8d47e2ee37877f1f)
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P24_23472.jpg?sign=1739085917-C6ssEQY9S391nQYmxCWAEjGZrmlfHE8J-0-5423f5afc51350d4211797fd20adc2eb)
执行结果
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P24_23475.jpg?sign=1739085917-Yhw3GFwT5zSIhEVrswhgApNZrFXGKH8M-0-a99afe76b25bcfeaf9e67cfb59a1e58e)
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=1739085917-gw0jT7og1JVrKVCPJRdZGj3hhP1ZmbM5-0-1503c79fc6fb99be6a5289c210718ce0)
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P24_23479.jpg?sign=1739085917-oazzkgBXI6YKiLt9IgjZ1e9skI3sOsBX-0-694218040e85c5b2e6701e25bccde379)
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P24_23480.jpg?sign=1739085917-RqUMpHZ4K1LsKGwAYE3LFC34pCKsHE1a-0-240c4874e136ab297e45a24f59b2a783)
执行结果
![](https://epubservercos.yuewen.com/0FCC12/26581271309165706/epubprivate/OEBPS/Images/Figure-P24_23483.jpg?sign=1739085917-eiYO5JlYSiyFWdVuKkxgDYxj47TXgvHo-0-86c8497808bf933871dafcca5761ac06)