Bring a large pot of lightly salted water to a boil. Place rotini pasta in the pot, cook for 8 to 10 minutes, until al dente, and drain.
Heat the olive oil in a skillet over medium-high heat. Place lima beans in skillet. Season with garlic, tarragon, and salt. Cook and stir until heated through. Toss with cooked rotini and top with Parmesan cheese to serve.