Surgery is surprisingly common in older people during the last year, month and even week of life, researchers reported Wednesday, a finding that is likely to stoke, but not resolve, the debate over whether medical care is overused and needlessly driving up medical costs. The most comprehensive examination of operations performed on Medicare recipients in the final year of life found that nationally in 2008, nearly one recipient in three had surgery in the last year of life. Nearly one in five had surgery in the last month of life. Nearly one in 10 had surgery in the last week of life.