Place the beef stew meat in the bottom of the slow cooker.
Add the diced poblanos, onion, and garlic on top of the beef.
Pour in the drained black beans and the can of diced tomatoes with green chilies.
Add the beef broth, chili powder, cumin, oregano, salt, and black pepper.
Stir everything gently to combine the ingredients evenly.
Cover and cook on low for 8 hours, until the beef is fork-tender.
Serve the stew in bowls with chopped cilantro and lime wedges on the side.