When learning the infinitive construction, my teacher told us that if “but, except, besides” serves as a preposition and before them there exists “do” or its other forms (did, does), “but, except, besides” will be followed by an infinitive with “to” being omitted, such as “He wants to do nothing but go out.” I am wondering if you could give me an example about “besides” followed by an infinitive with “to” being omitted.
In addition, I found this sentence in a dictionary “Besides making money, the company aims to set high standards of quality and design.” I thought “besides” could be followed by an infinitive and gerund. Am I right? Is there any differences? In addition, can "but" or except" be followed by a gerund ?
Thank you so much!