Careless smoking caused a fire in a senior apartment building in Burlington City that claimed a man’s life Saturday, police said Monday. Brian Snively, 63, died at the scene of the 11:30 a.m fire in the J. Frank Budd apartments on East Pearl Street. City fire units responded to the building for a fire alarm activation and when they arrived saw smoke coming from the third floor. Police officers joined them in evacuating residents from the 35-unit building, City Police Chief John Fine said in a statement. Firefighters narrowed the flames’ location to one apartment and had it extinguished in minu…