Convergent or Divergent Series 22. Another root test problem.

Опубликовано: 07 Апрель 2026
на канале: Math Problems Solved Craig Faulhaber
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Consider the series sum( -2/arctan n )^n. Evaluate the following limit. If it is infinite, type "infinity" or "inf". If it does not exist, type "DNE".


lim_{n to inf} sqrt[n](|a_n|) = L


What can you say about the series using the root test? Answer "convergent" "divergent" or "inconclusive".