1. Season the chicken breasts with salt and pepper, then dredge in flour.
2. Heat olive oil in a skillet over medium-high heat. Cook the chicken until golden brown on both sides, about 5-7 minutes per side. Remove and set aside.
3. In the same skillet, add chicken broth, lemon juice, and capers. Bring to a boil, then reduce heat and simmer for 5 minutes.
4. Stir in butter until melted and sauce is smooth. Return chicken to the skillet and cook for another 5 minutes, or until heated through.
5. Serve the chicken with the lemon caper sauce spooned over the top.