The asymptote of $y=\mathrm{sinc}(t)$ as time increases

Question

Is there any known approximate formula that maps decay percentage of $\mathrm{sinc}(t)$ with decaying time?

Or in other words, is there a known asymptote of $y=\mathrm{sinc}(t)$ as time increases?

Answer 1

You have $$\mathrm{sinc}(t) = \frac{\sin(t)}{t}$$ and $$\lim_{t \to +\infty}\frac{\sin(t)}{t} - 0= 0$$

So $y = 0$ is an asymptote of the function when $t \rightarrow +\infty$.