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Graph distance results in case of convergence and divergence
I understand both are the cases of convergence and divergence, but how do I define the distance in these cases? Is it simply infinity?
EDIT
Please forgive me if this question does not make sense, the question is written as I did not know how to write the question. It is as simple as an example.
If you were to calculate the distance from (x,y) to (0,0) in the 2D plane where x^2 + y^2 = 1, how would you define the distance between (x,y) and (0,0)? I find this question somewhat hard to understand
A:
This is a simple example of what you are trying to say.
Let’s say we are in the 1-dimensional euclidean space with some vector ${x}$. We want to define distance from ${x}$ to $0$, and use $d=|x|$.
Suppose that $x=\pm 2$, then we should get $d=2$. If we want $d$ to be bigger, then we need to increase $x$. But say we have the following vector:
$${x}=\frac{1}{2}\cdot\begin{bmatrix}1\\0\\0\end{bmatrix}$$
$$\Rightarrow{x}^2=\frac{1}{4}\cdot\begin{bmatrix}1\\0\\0\end{bmatrix}\cdot\begin{bmatrix}1\\0\\0\end{bmatrix}=\frac{1}{4}\cdot\begin{b
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