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Let \((u_n)\) be the sequence defined by \(u_0 = 10\) and for all \(n \in \mathbb{N}\), \(u_{n+1} = \sqrt{u_n + 2}\).
Plot the function \(f\) defined by \(f(x) = \sqrt{x + 2}\) in an orthonormal coordinate system.
Graphically represent the first four terms of the sequence on the \(x\)-axis.
Conjecture the variations (monotonicity) and the limit of the sequence \((u_n)\).
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