# 1. Determine if the series coverges or diverges. Where appropriate, specify if the convergence is absolute or condi-tional. Be sure to justify your answersBamboo Paper(1)"Vn(a)CAn=1in(-ylim(-Ynntlim

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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.

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Step 1

the series is absolutely convergent if ∑|an| is convergent.

The series is absolutely convergent if ∑|an| is divergent and ∑ an is convergent.

According to alternating convergence series, the series ∑ (-1)n bn converges if it satisfies,

1. bn+1≤bn
2. lim(n→∞) bn=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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