Test for divergence! The most important test in series convergence! Reddit r/apcalculus @bprpcalcbasics

Uploaded January 2026 | Updated September 2026, 2 weeks ago

Why can't we draw any conclusion for the series of a_n if the limit of a_n goes to 0? This is a very important concept for the n-th term test (aka test for divergence) when we work with infinite series in calculus 2.
We will compare the series of 1/n vs the series of 1/n^2 with the integral test: youtu.be/3WijWw0peQ8

This question is from Reddit r/apcalculus
reddit.com/r/apcalculus/comments/1qeyk11/why_is_the_nth_term_test_indecisive_if_it_equal_0
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Test for divergence! The most important test in series convergence! Reddit r/apcalculus

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