Possible Duplicate:
What does recursive cosine sequence converge to?
Consider the following sequence defined as follows:
$x_0 =1.$ $x_{n+1} = \cos(x_n)$
How do I show that $x_n$ is convergent?
Possible Duplicate:
What does recursive cosine sequence converge to?
Consider the following sequence defined as follows:
$x_0 =1.$ $x_{n+1} = \cos(x_n)$
How do I show that $x_n$ is convergent?