Approaches infinity has little meaning. Every semimonotonous series of numbers approaches infinity: you can never say that you are a factor 100 off.
That title bothered me too. If a trend continues, that means it would be exactly as much "approaching infinity" in 2026 as it was in 1960. It would also be exactly as finite in 2026 as it was in 1960.
That did seem strange to me until I realized they were just describing a vertical asymptote. It doesn't make sense for such a thing to exist when the x axis is a time, but I think it's meant to be tongue in cheek and preposterous.