Check the color of the tin lining your copper pot. As tin gets older it becomes darker in color. Darker-colored tin doesn't affect the utility of the copper pot, but sometimes the tin has worn away completely and the owner doesn't realize it because dried-on food imitates the color of tin. Note the color of the pot before moving on to the next step.
Wet a paper towel and wring out the extra water.
Apply a small dot of dish cleanser to the inside of the copper pot. Rub the spot with the wet paper towel.
Watch for a color change in the spot you're rubbing. If the spot turns silver, the dark color of the inside of the pot is dried foodstuffs. If the color is copper or dark, the tinning is gone and you are seeing through to the copper or steel beneath.