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Consider the sequence \((u_n)\) defined for \(n \ge 0\) by \(u_n = n^2 - n\).
  1. Show that using the sum rule directly leads to an indeterminate form.
  2. Show that for all \(n \neq 0\), \(u_n = n^2(1-\frac{1}{n})\).
  3. Deduce the limit of the sequence \((u_n)\).

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