Determine whether the series converges absolutely, converges conditionally, or diverges.
A) converges absolutely
B) diverges
C) converges conditionally

Question

Determine whether the series  converges absolutely, converges conditionally, or diverges.
A) converges absolutely 
B) diverges 
C) converges conditionally

Quizplus · Accepted Answer

The series does not converge absolutely because when we take the absolute value of the terms, we get 11 + aa595 + 647e + 4c34 + a696 + cda5765abb84 + TB4584 + 11 + TB4584 + 11, which diverges by comparison to the harmonic series. We cannot conclude about conditional convergence as we do not know the values of the terms in the series.

Determine Whether the Series Converges Absolutely, Converges Conditionally, or Diverges