Place the chicken breasts in the slow cooker. Add the chicken broth, diced tomatoes, black beans, corn, onion, garlic, chili powder, cumin, oregano, salt, and black pepper.
Cover and cook on low for 6 hours or on high for 3 hours, until the chicken is fully cooked and tender.
Remove the chicken from the slow cooker and shred it with two forks. Return the shredded chicken to the pot.
Stir in the lime juice. Let the soup sit for 5 minutes so the flavors blend.
While the soup finishes, spread the tortilla strips on a baking sheet and bake at 400°F for 8 to 10 minutes until crisp.
Ladle the soup into bowls and top each serving with tortilla strips, chopped cilantro, and a lime wedge.