Dividing infinity by infinity

Dividing the limit “∞” by itself is a useful metaphor for handling uncertainty across life’s many decisions.

For any finite value X, what is a meaningful resolution?
lim( ∞ / ∞ ) → ??

Does it:

• (A) tend to 0 because lim( X / ∞ ) → 0 , or
• (B) tend to ∞ because lim( ∞ / X ) → 0 , or
• (C) indeterminate, or
• (D) tend to a finite value, under context?

I find (D) to be a useful consideration. When trapped under a constraining mesh of uncertainty, where everything from nothing to everything seems plausible, a method that offers a clear result, for the current context, is liberating.