Question 39
$$
x_{n+1} = \left| x_n - \frac{1}{n} \right|, \quad \text{for } n \ge 1.
$$
Prove that it has a finite limit, and calculate it.
x_{n+1} = \left| x_n - \frac{1}{n} \right|, \quad \text{for } n \ge 1.
$$
Prove that it has a finite limit, and calculate it.