EDB — 1TZ

Exercises

1. [1TZ] Note:exercise 6 in the written exam 13/1/2011.

   Each integer \(n ≥ 1\) decomposes uniquely as \(n = 2^ k d\), with \(k ∈ N\) and \(d\) odd integer. Consider the sequence \(a_ n = d/2^ k\) and compute

   1. its upper and lower limit;

   2. the set of limit points.