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Divergency (Noun)

An infinite series that has no limit.

Nouns denoting cognitive processes and contents.

The harmonic series is often cited as a classic example of divergency, where the sum of the terms increases without bound.
In mathematics, a series is said to exhibit divergency if the sequence of partial sums does not converge to a finite limit.
The study of divergency in infinite series helps mathematicians understand the nature of convergence and how it relates to the properties of a function.
One of the key challenges of working with infinite series is identifying which ones exhibit divergency and which converge to a finite sum.
Mathematicians often rely on tests of convergency to determine whether a series exhibits divergency or converges to a finite limit.

The act of moving away in different direction from a common point; "an angle is formed by the divergence of two straight lines".

Nouns denoting acts or actions.

The intersection's geometry was determined by the divergence of the two highways at a sharp angle.
The company's products' failure stemmed from a divergence in their design approach from the original prototype.
Divergence in the stock market's curve led to worry among investors.
The river's course was altered by the divergence created at the fork where the new stream begins to flow.
Engineers focused on smoothing out the divergence in the newly widened highway to increase driver safety.