Limit of a sequence
Limit of a sequence 40 languages Article Talk Read Edit View history From Wikipedia, the free encyclopedia For the general mathematical concept, see Limit (mathematics) . This article needs additional citations for verification . Please help improve this article by adding citations to reliable sources . Unsourced material may be challenged and removed. Find sources: "Limit of a sequence" – news · newspapers · books · scholar · JSTOR ( May 2017 ) ( Learn how and when to remove this template message ) The sequence given by the perimeters of regular n -sided polygons that circumscribe the unit circle has a limit equal to the perimeter of the circle, i.e. 2 � � . The corresponding sequence for inscribed polygons has the same limit. n n sin(1/ n ) 1 0.841471 2 0.958851 ... 10 0.998334 ... 100 0.999983 As the positive integer � becomes larger and larger, the value � ⋅ sin ( 1 � ) becomes arbitrarily close to 1 . We say that "the