Final answer:
The nurse should respond by acknowledging the client's concerns and reassuring them that their condition will be closely monitored.
Step-by-step explanation:
The best response by the nurse to the client's statement, 'I know that I'm going to die,' would be: 'We have special equipment to monitor you and your problem.' This response shows empathy and reassures the client that their condition will be closely monitored. It also acknowledges the client's concerns without dismissing or invalidating them.