why 1/ infinity isn't indeterminate like other indeterminate?

$1/\infty$ tends to 0.

$\mathbf {It\ doesn't \ satisfy\ the\ inverse \ process\ of\ multiplication \ and \\division\ i.e} $

$\infty * 0$ is undefined or indeterminate.

So why $1/\infty$ is not indeterminate like other indeterminate $0/0$ , $\infty/\infty,..$

Thanks.