Verified answer

As you have it,

n°° / ∞ = ∞/∞, for n > 0.

∞/∞ is indeterminate, so there's no conclusion you can make.

However, in the context of a limit problem, you might be able to figure something out.

For example, if you have

lim x→∞ n^x / x = ∞/∞

Applying L'Hopital's Rule, you have

lim x→∞ d/dx[n^x] / d/dx[x]

lim x→∞ (ln(n) n^x) / 1

lim x→∞ ln(n) n^x

ln(n) [lim x→∞ n^x] = ∞

This is an unrecognizable math question.

You'll require an expression for both infinities which may take various forms. Depending on the nature of the expression, we can calculate the limit as the variables approach infinity.