\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
With \(f\) and \(\ell\) from the previous two exercises, take \(u_0 = 0\). Use the contraction estimate \(|u_n - \ell| \le k^n |u_0 - \ell|\) with \(k = 1/9\) to find an \(n\) ensuring \(|u_n - \ell| \le 10^{-6}\).
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