The ratio of infinity to infinity, which is an indefinite form or an infinitive. So the ratio may be 0, 1, or other numbers.

The infinitive in mathematics refers to infinitive.

The indefinite formula is that both functions f(x) and g(x) tend to zero or infinity, so the limit lim[f(x)/g(x)](x→x0 or x→∞) may or may not exist.

The origin of infinite symbols:

Aristotle (384-322 BC), an ancient Greek philosopher, believed that infinity could exist, because a finite quantity was infinitely separable and could not reach the pole, but infinity was universally acknowledged as unreachable.

/kloc-in the 20th century, a great Indian mathematician, Bascara, appeared, and his concept was close to that of modern theorization.

The symbol of putting 8 horizontally as ∞ to represent infinity was first put forward in john wallis's paper Arithmetic Infinity (published in 1655).