diverge
v.to move away from a common path or to become different from something else. In math, it means two lines or numbers go in different directions and never meet.
v.to move away from a common point or path; to become distinct or different. In a mathematical context, it describes the behavior of two curves or sequences that do not intersect and maintain a growing distance.
“The two roads diverge at the old bridge.”
“The two lines on the graph begin to diverge as the value of x increases.”
“While the initial results appeared similar, the two research teams eventually diverged in their conclusions regarding the long-term impact of the policy change.”
From Medieval Latin dīvergō (“bend away from, go in a different direction”), from Latin dī- + vergō (“bend”).
Etymology adapted from Wiktionary, available under CC BY-SA 4.0.