When it comes to making the sorbet you have two options. If you don’t mind a bunch of seeds in your sorbet you can freeze the raspberries (or buy frozen berries), get the syrup really cold (and I mean really cold) and then puree all but a handful together with the little lime juice in the food processor until it’s all smooth. Remove the blade from the processor, throw in the remaining raspberries, stir to combine and Immediately transfer it to a storage container and freeze until it has hardened up. No need for pulling out the ice cream machine for any churning.