Wiktionary
n. (context analysis English) A sum with a countably infinite number of ordered summands; the sum itself is formally defined as the limit of the partial sums, if it exists.
Usage examples of "infinite series".
And so to imagine the action of a man entirely subject to the law of inevitability without any freedom, we must assume the knowledge of an infinite number of space relations, an infinitely long period of time, and an infinite series of causes.
By the time of Leonhard Euler, an author so prolific that we might consider him to be the Terry Pratchett of eighteenth-century mathematics, many of the leading mathematicians were dabbling in `infinite series' - the school child's nightmare of a sum that never ends.
To-day we should say that in this way we can reach zero only by an infinite series of steps.
If you divide every even integer in the entire infinite series by two, you will get another infinite series which will contain within it the infinite series of odd integers.
An infinite series of mes stretched out into eternity, endless thousands of Isham Stones caught in that frozen second of time that holds endless thousands of possible futures, on the point of some unimaginable cusp.