\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Consider the geometric sequence \((u_n)\) with first term \(u_0 = 2\) and common ratio \(q = \dfrac{1}{2}\).
Determine the limit of \((u_n)\) as \(n \to +\infty\).