Series test for convergence/divergence

[DrD]

(05-11-2018 03:30 PM)parisse Wrote:  They just give some hints, but no proof. I mean, no math teacher would accept "the series is convergent by comparison" without details.

During the topic under discussion, a proof is given by the instructor. After the proof has been provided, it is expected that those methods will be used for subsequent problem solving; and once an outcome has been reached a result is generally shown as: "convergence, (or divergence), for ∑ bn is demonstrated, therefore ∑ an is also convergent, (or divergent), {by the relevant series test}." So the "details" ARE part of a student's solution.

The calculator would be useful in validating intermediate steps, and if the calculator's solution was of a form similar to Wolfram's, it would be even more valuable to the student, and the instructor as well, since the student's answer should follow the (hopefully, correct) calculator results.