MathDB

B7

Part of 1952 Putnam

Problems(1)

Putnam 1952 B7

Source: Putnam 1952

7/7/2022
Given any real number N0,N_0, if Nj+1=cos⁡Nj,N_{j+1}= \cos N_j , prove that lim⁡j→∞Nj\lim_{j\to \infty} N_j exists and is independent of N0.N_0.
PutnamtrigonometrycosineConvergence