We type at something like 150 wpm casually and our brain is still a bit faster... although we've been optimizing it to type out chat messages for years, so that's probably why we can come up with them with such ease
What kind of keyboard do you have that polls at such a rate that it can keep up with "almost infinite" (whatever that means) WPM? The best keyboards I have found only have 1000Hz scan rate, which in the absolute best case means only 30,000 WPM. Granted, compared to infinity, every number is equidistant, but when you say "almost infinite" I expect something a bit more impressive (in the 10**80 range, for example).