diverge

Two roads diverged in a yellow wood, / And sorry I could not travel both / […]

The brooding, black-clad singer bridged a stark divide that emerged in the recording industry in the 1950s, as post-Elvis pop singers diverged into two camps and audiences aligned themselves with either the sideburned rebels of rock 'n' roll or the cowboy-hatted twangsters of country music.

The sidewalk runs next to the street for a few miles, then diverges from it and turns north.

The software is pretty good, except for a few cases where its behavior diverges from user expectations.

The sequence x_n=n² diverges to infinity: that is, it increases without bound.