\(\Huge\color{blue}{^*\;\lim n\in\mathbb{N}\Rightarrow\lim n\not\in\mathbb{N}}\)

elim

设 \(\lim n=m\in\mathbb{N},\)  令 \(M=m+1,\) 则当 \(n\)充分
大时\(n\ge M\) 故 \(m=\lim n\ge{\small M}=m+1\). 可见
\(m\)不合皮亚诺公理, \(m\not\in\mathbb{N}\) 即 \(\lim n\not\in\mathbb{N}.\;\;_\blacksquare\)
顽瞎目测蕴含顽瞎目测的否定. 此乃嗜屎之报应．\(\underset{\;}{\;}\)
\(\huge\textbf{ 滚驴白痴真身被验明},\)
\(\huge\color{red}{\textbf{  孬贼船漏不打一处来.}}\)