Pull up the carpeting to reveal the tape. While it will take some effort, once the carpet comes away from the floor, the tape gives way easily. There may be tape residue on both the carpet and the floor or only on one or the other.
Scrape as much of the tape off the carpet backing and the floor as possible using a plastic scraper or a butter knife.
Rub vegetable oil into the tape residue using your fingers.
Allow the vegetable oil to penetrate the tape for about one hour.
Scrub the tape off using a heavy paper towel.