I’m doing something that I should have done a long time ago: collect past series of posts into a single, easy-to-reference post. The following posts formed my series on various lessons I’ve learned while trying to answer the questions posed by gifted elementary school students.
Part 1: Different types of countable sets
Part 2a: Divergence of the harmonic series.
Part 2b: Convergence of the Kempner series.
Part 3a: Conditional convergent series or products shouldn’t be rearranged.
Part 3b: Definition of the Euler-Mascheroni constant .
Part 3c: Evaluation of the conditionally convergent series
Part 3d: Confirmation of this evaluation using technology.
Part 3e: Evaluation of a rearrangement of this conditionally convergent series.
Part 3f: Confirmation of this different evaluation using technology.
Part 3g: Closing thoughts.