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The Non-Canon Expert explains how Dooku knew that there would be no way that Anakin would ever allow him to survive based upon the change that the Jedi went through as their duel in Revenge of the Sith progressed. This also helps to explain why he didn't try to convince Anakin to spare his life.
This is a Legends story for Dooku and Anakin with information from the great Revenge of the Sith novelization by Matthew Stover. I hope that you enjoy it!