Here's why:
* "Eliminate" means to remove or get rid of something completely.
* "The doctor recommended a new treatment to..." This part of the sentence sets up the purpose of the treatment.
* "...remove the infection..." This phrase directly relates to the meaning of "eliminate" and acts as a synonym, telling us that "eliminate" in this context means to get rid of the infection.
Therefore, the sentence provides a synonym clue to help us understand the meaning of "eliminate."