\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Consider the geometric sequence \((u_n)\) with first term \(u_0 = 2\) and common ratio \(q = \frac{1}{2}\).
Determine the limit of the sequence \((u_n)\) as \(n \to +\infty\).
Capture an image of your work. AI teacher feedback takes approximately 10 seconds.