Text Practice Mode
latex language: formal definition of limit (mathematical analysis)
created Apr 17th 2016, 19:20 by YQwert
1
38 words
136 completed
4
Rating visible after 3 or more votes
saving score / loading statistics ...
00:00
\begin{Def}
Let $(x_n)_{n\in\mathbb{N}}$ be a sequence of real numbers. We say that $(x_n)_{n\in\mathbb{N}}$ is convergent if there exists a real number $L$ such that for all $\epsilon>0$, there exists $N\in\mathbb{N}$ such that $|x_m-L|<\epsilon$, for all $m>N$.
\end{Def}
Let $(x_n)_{n\in\mathbb{N}}$ be a sequence of real numbers. We say that $(x_n)_{n\in\mathbb{N}}$ is convergent if there exists a real number $L$ such that for all $\epsilon>0$, there exists $N\in\mathbb{N}$ such that $|x_m-L|<\epsilon$, for all $m>N$.
\end{Def}
saving score / loading statistics ...