1. Sauté shallots in hot oil in a large Dutch oven over medium heat 2 to 3 minutes or until tender. Stir in carrots and apple; cook, stirring often, 2 to 4 minutes or until apple is tender. Add ginger, and cook, stirring constantly, 1 minute. Stir in broth and zest; bring to a boil over medium-high heat. Cover, reduce heat to medium-low, and simmer, stirring occasionally, 30 minutes or until carrots are tender. Stir in salt, lime juice, and pepper.
2. Remove from heat. Process mixture with a handheld blender until smooth.