The word can a action or linking verb?

The word "can" is a helping verb, also known as an auxiliary verb. It's not an action verb or a linking verb on its own.

Here's why:

* Action verbs describe actions (e.g., run, jump, eat). "Can" doesn't describe an action.

* Linking verbs connect the subject of a sentence to a noun, pronoun, or adjective that renames or describes the subject (e.g., is, seems, becomes). "Can" doesn't connect a subject to anything.

"Can" helps to form verb phrases that express:

* Ability: I *can* swim.

* Permission: You *can* leave early.

* Possibility: It *can* rain tomorrow.

Let me know if you have any other questions!