Notes - Analysis I MT22, Convergent implies bounded
Flashcards
When proving that if $(a _ n)$ converges to a limit $a$, then $(a _ n)$ is bounded, what two values $L$ and $U$ do you consider?
- $L = \min(a _ 1, a _ 2, \ldots, a _ n, a - 1)$
- $U = \min(a _ 1, a _ 2, \ldots, a _ n, a+1)$