Final answer:
Prior to administering doxorubicin, the nurse verifies the cumulative lifetime dose to prevent the risk of cardiomyopathy, a serious heart condition that can occur if the lifetime dose limit is exceeded.
Step-by-step explanation:
The nurse is verifying the client's current cumulative lifetime dose of doxorubicin before administering the medication. This verification is crucial because exceeding the lifetime cumulative dose limit of doxorubicin can lead to cardiomyopathy, a serious heart condition. While myelosuppression, extravasation, and discoloration of urine and sweat are also potential side effects of doxorubicin, the most critical concern that necessitates checking the cumulative dose is the risk of cardiomyopathy, which can be life-threatening.