Analysis I MT22, Limits are unique
Flashcards
What fact do you use when proving that limits are unique, about $a = b$?
\[\forall \varepsilon > 0 \text{ } \vert a - b \vert < \varepsilon \implies a = b\]
What magic triangle inequality transformation do you make when proving limits are unique, i.e. that if $a _ n \to a$ and $a _ n \to b$ then $a = b$, about $ \vert a - b \vert $?
\[\vert a - b \vert = \vert a - a _ n + a _ n - b \vert\]