可grammar point · tier 1 · 可 — written-register 'can / serves to': bare 可 before a verb, an activity enables a good outcome
· kě
Bare 可 set straight before a verb in written register: doing the fronted thing serves to bring about the good outcome; the compressed, formal form of 可以.
Same enabling-benefit reading; register sorts them. 可3 is bare and written (可改善環境), the yes laid straight on the verb; 可以3 carries 以 and runs in speech (可以讓身體健康). Formal text takes 可; everyday talk takes 可以.
可3 frames the activity as good for the result — doing it serves to reach the outcome; 能 says the conditions make a thing possible at all. They overlap, but 可3 carries the benefit, 能 carries bare possibility.
padding it back to speech register in formal text: 做好資源回收可以改善環境(natural in talk, loose on the page) → 做好資源回收可改善環境
fronting a person granted leave: 你可改善環境 → 做好資源回收可改善環境(可3 takes an activity as subject, not a permitted person)
negating with 沒: 沒可改善環境 → 不可改善環境
English 'can' is one word for ability, permission, and 'it serves to do good' alike, and carries no register split, so learners miss that Mandarin's bare 可 is the written-formal twin of spoken 可以 and reach for 可以 on the page.