What are examples of infinitives used as a noun, adjective, or adverb?

see below
An infinitive is a verb form
to + verb
Used as Noun:
Ex: To obey is better than sacrifice.
—used as subject in the sentence
Used as Adjective:
Ex: I need a place to study .
— used as modifier for “place”.
(ask: What kind of place do I need? ans: a place “to study”)
Used as Adverb:
Ex: She invited her friends to go shopping.
— used as modifier for the verb “invited”.