Infinitives in the English language are relatives easy to spot. You just have to locate the word TO followed by a verb.
Here, the infinitive is to eat.
There is another TO in the sentence (to music), however, the word music is not a verb, which means that <em>to music </em>is not an infinitive.
C is correct in this situation.
I would say its D because it rhymed best to me like seeming (a) then appear(b) esteeming(a) where(b) spring (a) and d is only with ababa