continue vs remain

continue

verb
  • To remain in a given place or condition; to remain in connection with; to abide; to stay. 

  • To make a continuation bet. 

  • To retain (someone or something) in a given state, position, etc. 

  • To proceed with (doing an activity); to prolong (an activity). 

  • To make last; to prolong. 

  • To resume. 

  • To adjourn, prorogue, put off. 

noun
  • An option allowing the player to resume play after game over, when all lives have been lost, while retaining their progress. 

remain

verb
  • To continue unchanged in place, form, or condition, or undiminished in quantity; to abide; to stay; to endure; to last. 

  • To await; to be left to. 

  • To continue in a state of being. 

  • To be left after a number or quantity has been subtracted or cut off; to be left as not included or comprised. 

  • To stay after others or other parts have been removed or otherwise disappeared. 

noun
  • That which is left; relic; remainder. 

  • That which is left of a human being after the life is gone; relics; a dead body. 

  • Posthumous works or productions, especially literary works. 

How often have the words continue and remain occurred in a corpus of books? (source: Google Ngram Viewer )