This symbol was first used in mathematical studies by John Wallis in the year of 1655, to represent when certain elements have no limit. Wallis was apparently inspired by the Greek symbol of the ouroboros.
Indeed, the infinity symbol is believed to be related to the ancient Greek symbol of the Ouroboros, in which a snake-shaped animal or creature, such as a dragon, bites its tail. The image is associated with the eternal return, with the cycles that repeat and last forever. It represents, then, a conception of life as an infinite, although not linear, phenomenon. It is not strange, therefore, to see the infinity symbol represented as a coiled serpent in the shape of ∞