Determine whether the series converges absolutely, converges conditionally, or diverges

[armn91]

Hello, could anybody let me know if what I doing is correct? Thank you very much!

 

[Steven G]

Have you noticed the quality of your image?

 

[nasi112]

My eyes are hurting.

 

[Steven G]

My eyes are hurting.

I closed mine as soon as I saw the image.

 

[lookagain]

Hello, could anybody let me know if what I doing is correct? Thank you very much!

It is difficult to read, although it looks correct. The \(\displaystyle \ a_n \ \) fraction is \(\displaystyle \ \dfrac{3^n}{n^3}, \ \) and your ratio test steps look correct.