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Consider the sequence \((u_n)\) defined for \(n \ge 0\) by \(u_n = \dfrac{n}{n+1}\).
  1. Show that \((u_n)\) is lower bounded by \(0\).
  2. Show that \((u_n)\) is upper bounded by \(1\).
  3. Conclude that \((u_n)\) is bounded.

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