Determine whether the series converges conditionally or absolutely,or diverges.
A)The series converges conditionally but does not converge absolutely.
B)The series converges absolutely but does not converge conditionally.
C)The series diverges.
D)The series converges absolutely.

Question

Determine whether the series  converges conditionally or absolutely,or diverges. ​
A)The series converges conditionally but does not converge absolutely. 
B)The series converges absolutely but does not converge conditionally. 
C)The series diverges. 
D)The series converges absolutely.

Quizplus · Accepted Answer

To check for absolute convergence, we need to check if the series 11eac44f_ec3b_be41_bedf_95534bf54818_TB7497_11 converges. We can use the alternating series test to show that it converges conditionally. However, if we take the absolute value of each term, we get the series 11+44+...+11+TB7497+11. This series does not converge (it diverges to positive infinity), so the original series does not converge absolutely. Therefore, the series converges conditionally but does not converge absolutely.

Determine Whether the Series Converges Conditionally or Absolutely,or Diverges