Series investigation: divergence/convergence

[physicisttobe]

Homework Statement

Series (convergence/divergence)

Relevant Equations

....

Hi everyone!
It's about the following task: show the convergence or divergence of the following series (combine estimates and
criteria).

I am not sure if I have solved the problem correctly. Can you guys help me? Is there anything I need to correct? I look forward to your feedback.

 

[PeroK]

Looks fine. If you want to post more problems you may want to learn Latex. See the help pages.

 

[PeroK]

For example:
$$\sum_{k=1}^{\infty}\frac{k^3}{(k^2+2)^2}$$

 

[physicisttobe]

Thank you for your response PeroK! So everything was calculated correct, right?
And yes, I'll try Latex. But how do I have to proceed? I don't find the button for Latex in this forum.

 

[PeroK]

Thank you for your response PeroK! So everything was calculated correct, right?
And yes, I'll try Latex. But how do I have to proceed? I don't find the button for Latex in this forum.

You just type it in. The icon on the top right gives you a preview.

 

[berkeman]

And yes, I'll try Latex. But how do I have to proceed? I don't find the button for Latex in this forum.

Thank you for learning to post equations using LaTeX. You can click the "LaTeX Guide" link below the Edit window to learn more.

 

[Office_Shredder]

You can also quote a post to see what they did to get latex in their post.

 

[physicisttobe]

Hi berkeman!
I can't find the Latex Guide. Where is the edit window? I'm quite new in this forum.

Edit: Okay, I found it right now thank you

 

[berkeman]

Are you on a phone or your laptop? On a laptop with Firefox browser, I see this: