In a bowl, mix together first 7 ingredients. Sprinkle mixture on both sides of chicken breasts. In a skillet heat butter and olive oil together over medium high heat. Saute chicken until golden brown, about 5 minutes on each side. Remove chicken and add lime juice and chicken broth to the pan, whisking up the browned bits off the bottom of the pan. Keep cooking until sauce has reduced slightly. Add chicken back to the pan to thoroughly coat and serve with remaining sauce drizzled over the top.
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