Consider the sequence b_{1}, b_{2}, b_{3},... , where b_{1}=1 and b_{n+1} = cos(arctan(b_{n})), for n >= 1. Find lim_{n -> Infinity}(b_{n}). © Copyright 1996 Stan Wagon. Reproduced with permission.

Consider the sequence b_{1}, b_{2}, b_{3},... , where b_{1}=1 and b_{n+1} = cos(arctan(b_{n})), for n >= 1.

Find lim_{n -> Infinity}(b_{n}).

© Copyright 1996 Stan Wagon. Reproduced with permission.