Wash and chop the vegetables: husk and quarter the tomatillos, chop the onion, mince the garlic, and chop the jalapeños.
In a large pot, heat the olive oil over medium-high heat. Add the beef cubes and brown on all sides for 5 to 7 minutes. Remove and set aside.
In the same pot, add the chopped onion and sauté until translucent for 3 to 4 minutes. Stir in the minced garlic and chopped jalapeños, cooking for an additional 2 minutes.
Add the tomatillos to the pot and cook for about 5 minutes. Return the browned beef, pour in the chicken broth, and stir in the spices. Bring to a boil, then reduce heat to low and simmer for 90 to 120 minutes.
Once the beef is tender, stir in the chopped cilantro and lime juice. Adjust seasoning if needed, and serve.