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Let \((u_n)\) be the sequence defined for \(n \ge 0\) by$$u_n=-\frac{2n}{n+2}.$$
  1. Show that \((u_n)\) is lower bounded by \(-2\).
  2. Show that \((u_n)\) is decreasing.
  3. Conclude that \((u_n)\) converges.

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