Hyperbolic growth

When a quantity grows towards a singularity under a finite variation (a "finite-time singularity") it is said to undergo hyperbolic growth. More precisely, the reciprocal function ${\displaystyle 1/x}$ has a hyperbola as a graph, and has a singularity at 0, meaning that the limit as ${\displaystyle x\to 0}$ is infinite: any similar graph is said to exhibit hyperbolic growth.