Place the chicken breasts in the bottom of the slow cooker.
Add the black beans, diced tomatoes with green chilies, chicken broth, diced onion, minced garlic, cumin, chili powder, salt, and black pepper.
Stir gently to combine the ingredients around the chicken.
Cover and cook on low for 6 hours or on high for 3 hours, until the chicken is tender and shreds easily.
Remove the chicken, shred it with two forks, and return it to the slow cooker.
Stir in the lime juice.
While the soup finishes, bake or air-fry the tortilla strips at 375°F for 8 to 10 minutes until crisp.
Ladle the soup into bowls and top with the tortilla strips and chopped cilantro.