Use the Direct Comparison Test (if possible)to determine whether the series converges or diverges.
A)diverges
B)converges

Question

Use the Direct Comparison Test (if possible)to determine whether the series  converges or diverges. ​
A)diverges 
B)converges

Quizplus · Accepted Answer

Unfortunately, we cannot use the Direct Comparison Test for this series as it does not satisfy one of the conditions required for the test. To use the Direct Comparison Test, we need to have a series with positive terms. However, the terms in this series alternate in sign and are therefore not all positive.

There are other convergence tests we can use, such as the Alternating Series Test or the Ratio Test, but without further information, we cannot determine whether the series converges or diverges.

Use the Direct Comparison Test (If Possible)to Determine Whether the Series