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A company buys a machine for \(\dollar5,000\). Each year, the value of the machine depreciates (decreases) by \(10\pourcent\). Let \(u_n\) be the value of the machine after \(n\) years.
Calculate the values of \(u_1\) and \(u_2\).
Express \(u_n\) in terms of \(n\).
Determine the limit of the sequence \((u_n)\) as \(n \to +\infty\) and interpret the result.
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