Combine the potato, salt, and lime juice in a medium bowl and let sit for 5 minutes. Squeeze the potatoes between your hands to remove any liquid.Dry the bowl and return the potato to the bowl. Add the pepper, green onions, shallot, parsley, cheese, bread crumbs, and eggs. Using your hands, combine thoroughly.In a large skillet over medium heat, heat 2 tablespoons of the butter and 2 tablespoons of the olive oil. Add ½ cup of the potato mixture and spread it out to form a 4-inch pancake. Cook 4 latkes in the skillet at one time until golden brown, about 4 minutes. Add an additional 2 tablespoons butter and 2 tablespoons olive oil to the skillet before cooking the second batch. Using your spatula to loosen the latkes from the skillet, turn them over and cook for 3 to 5 more minutes until they are golden brown.Remove from skillet and place on a serving plate.Enjoy making and devouring this recipe and find many more like in Kurt Dammeier's Pure Flavor Cookbook.