\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Consider the sequence \((u_n)\) defined for \(n \ge 1\) by \(u_n = \dfrac{2+n}{e^n}\).
  1. Calculate \(u_1, u_5\) and \(u_{10}\) (Round to four decimal places).
  2. Conjecture the limit of the sequence.

Capture an image of your work. AI teacher feedback takes approximately 10 seconds.