# The Dottie Number

by Samuel R. Kaplan (University of North Carolina at Asheville)

Mathematics Magazine
February, 2007

Subject classification(s): Single Variable Calculus | Calculus
Applicable Course(s): 4.19 Complex Variables | 3.1 Mainstream Calculus I

The unique root of $cos(x)=x$, the Dottie number, is a simple non-trivial example of a universal attracting fixed point. The author gives pedagogical examples for several courses ranging from Calculus I to Complex Analysis.

A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.