# Presenting the convergence of a set of distributions to a particular distribution graphically

This is not directly related to doing statistics, but rather presenting statistical data.

I have a set of values $$\{x_i\},{i\in I_t},$$ for each $$t\in [0,1]$$. Every set of values $$\{x_i\}$$ for a fixed $$t$$ gives me a distribution and as $$t\to 1$$, the distribution of $$\{x_i\}$$ converges to a particular well-known distribution.

I would like to show this convergence graphically in a similar way how $$1/n$$ sequence converges to $$0$$. How can I do that? Are there ways of presenting this data such that it will provide an intuition about how fast the date convergence to that particular distribution?