ceaselessly vs continuously

ceaselessly and continuously both are adverbs.

Word	Noun	Adjective	Verb	Adverb
ceaselessly	No	No	No	Yes
continuously	No	No	No	Yes

As adverbs, ceaselessly and continuously are synonyms defined as:

Other synonyms of ceaselessly include endlessly, incessantly, unceasingly, unendingly.

ceaselessly (adverb)	continuously (adverb)
with unflagging resolve	at every point
	with unflagging resolve