c

a_{n + 1} := \frac{1}{2} (a_{n} + \frac{x _{0}}{a _{n}}), n \in N, x_{0} \geq 0

a_{1} > x_{0}

z.z.: n \to \infty lim a_{n} = n \to \infty lim x_{0}

n \to \infty lim a_{n} = n \to \infty lim a_{n + 1} = n \to \infty lim \frac{1}{2} (a_{n} + \frac{x _{0}}{a _{n}})

a 2 a = n \to \infty lim \frac{1}{2} (a_{n} + \frac{x _{0}}{a _{n}}) = n \to \infty lim a_{n} + \frac{x _{0}}{a _{n}}

🪴 Quartz 4.0