Possessive Pronoun or Possessive Adjective? [duplicate]

"I couldn't persuade Tim in spite of my begging him to come with us" So, is it supposed to be "me begging him", or it is grammatical? My teaher said the sentence was correct. But when I asked my different internet frineds, who claimed to be American and Singaporean, they all agreed "me begging him" was correct.

So is it "me or "my"? If both are interchangeable, please explain to me when to use each individually in different contexts.

I couldn't persuade Tim in spite of my/me begging him to come with us.

Both forms are correct and interchangeable.

"Begging" is a verb in both cases, as is evident by the the fact that it has the direct object "him".

The only difference is that genitive "my" is more formal than accusative "me".