• Give the set

  • State which are the limit points

  • Prove the “limit points” are really limit points

  • Prove that nothing else are limit points

  • The set is {0, 1/n, (1+n)/n, (2+n)/n} where n runs from 1, 2, 3, to infinity.

  • The limit points are 0, 1, and 2.

  • Show that 0 is a limit point

  • Show that 1 is a limit point

  • Show that 2 is a limit point

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