Heat the olive oil and butter together in a large skillet. Add the asparagus then cover with a lid and cook for 2-3 minutes, depending on how thick the asparagus is (longer if they are thick).
Remove the lid, add the lime juice, and minced garlic, and season with sea salt and freshly cracked pepper, to taste.
Cook, stirring constantly, for 1 minute. Serve with additional lime. Enjoy.