ANA1_L6

$\{P_n\}$ is a sequence in $\mathbb{R}$ ($f:{\mathbb{Z}}_{>0}\to \mathbb{R}$)

"${\lim }_{n\to \infty }{P}_n=p$" means
$\forall ϵ>0$ there exists a positive integer $n$ such that for all $n>N$, $|P_n-p|<ϵ$
Can be easily generalized to a metric space $(X,d)$, where $X$ is a set(?) and $d$ is the distance function.

Rudin, 3.3

look up normed linear space

Read 3.20

pit and the pendulum

read up on cauchy sequences