Sequence general term can be less than or equal to constant times second-sequence general term {comparison test}. If second sequence diverges, first sequence diverges. If second sequence converges, first sequence converges.
If second sequence converges, and if second-sequence general term divided by sequence general term has limit, first sequence converges.
If second sequence diverges, and second-sequence general term divided by sequence general term has limit or if quotient is infinite, first sequence diverges.
If limit of quotient of sequence general terms does not equal zero, both sequences either diverge or converge.
Mathematical Sciences>Calculus>Series>Convergence>Test
3-Calculus-Series-Convergence-Test
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Date Modified: 2022.0224