Preheat the oven to 375 degrees F (190 degrees C). Pour oil into a 9x13-inch baking dish, and place in the oven until hot, about 5 minutes.
Add potatoes to oiled dish, and bake for 20 minutes in the preheated oven, turning after 10 minutes. In a small bowl, mix together brown sugar, cinnamon, salt, and pepper.
After the 20 minutes is up, remove potatoes from the oven, and sprinkle with brown sugar mixture. Stir to coat. Return to the oven, and roast for another 10 minutes, or until potatoes are tender and golden brown. Stir potatoes as necessary to allow them to brown evenly.
Remove potatoes to paper towels to drain, then transfer to a serving dish, and sprinkle with lime juice.