Suppose I have two sequences $a_n$ and $b_n$. They both start from a very high number say $25000$ and converges to zero.
If I plot them in one plot, as they start from a very large number, the plot looks like as if $a_n \approx b_n \approx 0$. But if we look closely, the difference between them is around $2$ or $3$ which is high enough. But since the plot scales itself to accomodate initial numbers, the difference in later iterations just goes away.
So my question is, is there any function $f$, such that if I plot $f(a_n)$ and $f(b_n)$, the difference will be more clear?
I actually care about differences for large $n$. But I cannot miss out on initial iterations as it is required to show that both sequences start from same point.