Bring the sugar and water to a boil in a medium saucepan. Reduce the heat and stir until the sugar is dissolved completely. Remove from heat and allow to cool to room temperature.Meanwhile puree the raspberries and lime juice in a food processor or blender. Press the puree through a mesh strainer to remove the seeds. When the sugar syrup has cooled completely, stir it into the raspberry puree. Add the corn syrup and mix to combine.
Pour the mixture into an ice cream maker and freeze according to the manufacturer's instructions. Sorbets are particularly soft after freezing in the ice cream machine. Scoop into a bowl, cover, and place in freezer for 1-2 hours to firm up.