If the distance from the centre grows by 1/angle where angle is in full circles, then when the distance from the centre is +(1/0) is the asymptote at distance 2 pi from the centre?

For example, after 1 turn the distance is 1, after 2 turns the distance is 0.5, after 4 turns the distance is 0.25, but at 0 turns the distance is infinite and the asymptote is 2 pi from the centre?