Question

What can you say about the series an in each of the following cases?

Answer 1

The exercise is related to the Ratio Test for Convergence. The rules for this kind of test are given below.

What are the rules for Ratio Test for Convergence?

The rules are:

• If the limit is less than 1 when conducting the ratio test, your series is definitely convergent.
• The test is inconclusive if the limit is equal to 1.
• The series is divergent if the limit is greater than 1.

Using this knowledge, we are able to state that

• A is not conclusive.
• C's convergence is absolute.
• There is divergence with D and E.
• B and F appear to be employing the nth-term test. The nth-term involves determining the sequence's limit as it approaches infinity.

The nth-term test determines whether a series is divergent if the limit is bigger than 0, thus, both B and F are divergent series.

Please see the attached for the full question and the link below for more about Ratio Test for Convergence:

brainly.com/question/16618162

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