The grammar structure ことなく means "without doing ~" and is used to express that an action does not occur while something else takes place. It is formed by attaching ことなく to the dictionary form of a verb.
It is similar in meaning to ~ないで or ~ずに, but ことなく carries a more literary and formal tone, making it common in written Japanese, speeches, and formal contexts. It often emphasizes that the action was never done – not even once – throughout the duration of the main event.
All three expressions mean "without doing ~", but they differ in tone and usage:
Compare with the more casual version: なみだ涙をみせないで見せないでほほえんだ微笑んだ.
ことなく frequently appears with time-related expressions like いちど一度も (not even once), さいご最後まで (until the end), and えいえん永遠に (forever), reinforcing the sense that the action was thoroughly avoided or never performed.