How does the reader know in that this passage is written in the third-person limited point of view?

3rd person limited point of view, means that the narrator only knows the thoughts and feelings of one character. To figure out if this is correct, first make sure that it is in 3rd person point of view. Look for words like them, they, he, she. If you see words like we, us, I and you, that means it is in a different point of view. If it is third person, try to figure out how much the narrator knows. For example, if a story read something like “Jason felt that he had hurt Sebastian’s feelings, so he apologized. Although Sebastian was hurt by what Jason said, he accepted his apology.” In this example, the narrator knows the feelings of more than one character, making it 3rd person omniscient. If the narrator only speaks about one persons thoughts in a story, it is indeed 3rd person limited. Hope this helps!