This word is acceptable for play in the US & UK dictionaries that are being used in the following games:

• Lexulous
• Wordscraper
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n. Convergence.

n. Alternative form of convergence.

n. the approach of an infinite series to a finite limit

n. the act of converging (coming closer)

"Among his researches may be mentioned his development of the theory of series in which he established rules for investigating their convergency."

series