Question

Asked Nov 25, 2019

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I am trying to find if this converges absolutly or conditionally, or diverges. I am not sure how to proceed when I get infinity/infinity. My steps are in the Image.

Step 1

the series is absolutely convergent if ∑|a_{n}| is convergent.

The series is absolutely convergent if ∑|a_{n}| is divergent and ∑ a_{n} is convergent.

According to alternating convergence series, the series ∑ (-1)^{n }b_{n} converges if it satisfies,

- b
_{n+1}≤b_{n} - lim(n→∞) b
_{n}=0

According to p-series test, the series is converges if p>1 and diverges otherwise. Here general form of series is in the form,

Step 2

Identify the function.

Step 3

Check convergence for ∑ an using a...

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