Let $G$ be a reductive algebraic group defined over $\mathbb{F}_{q}$. Let $G(\mathbb{F_{q}})$ denote the finite group of fixed points under the Frobenius map $F$. Now, we know that the set of regular semisimple elements is dense in $G$.

Let $RSS(G(\mathbb{F}_{q}))$ denote the set of regular semisimple elements in $G(\mathbb{F}_{q})$. I want to know, what can one say about the following

$$\lim_{q\to \infty} \frac{|RSS(G(\mathbb{F}_{q}))|}{|G(\mathbb{F}_{q})|}$$. I think that this answer probably is 1. This is what happens when we look at the group $GL_{n}(k)$. The following question probably asks something similar for $SL_{n}(k)$:Regular semisimple elements in $SL(n,q)$

There is a comment on this question, which says this result follow from "Deligne's proof of Weil Conjectures". I am not much aware of this. I hope to get some kind of answer to my question, or reference where this question has been studied in details.

Thank you!!