Hey guys, I have some infinite series problems I need my solutions checked to.

**Problem 1.** Use the ratio test to determine whether the series converges or diverges. Explain how the test permits you to draw your conclusion.

__My Solution__
Since

, the ratio test fails.

Here, I have trouble thinking my solution is right because the directions make no mention of the test failing. Is my solution correct?

**For problems 2 and 3 determine whether the series converges absolutely, converges conditionally, or diverges. Explain how you drew your conclusion in each case.**

**Problem 2.** **Problem 3.**
I don't know how to do either of these problems, help please!

Thanks in advance for all help!