Step 1Trim the root ends of the sprouts, then cut them into quarters.
Step 2Heat the butter and oil in a large skillet over medium heat. Add the Brussels sprouts and cook, partially covered, until tender, about 10 minutes. Raise the heat to high, add the lime juice and salt and pepper to taste. Cook, stirring, until almost all of the lime juice has evaporated, about 2 to 3 minutes.