Syllable division derived from spelling — this word is not in the pronouncing dictionary, so no phonetic transcription is shown rather than a guessed one.
asymptotically is an adverb meaning "toward an asymptote". It carries one recorded sense.
toward an asymptote
“it grew asymptotically”
Definitions, synonyms and semantic relations for asymptotically come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.