please help?

1. There are a few series listed below. Pick any two to include in your submission: one that converges and one that diverges. For each one you choose, explain why it converges or not, and include enough detail so that a classmate could understand. 1' 220:1 3)::1 n 22-1 (e) 3.22:. 421:1 el 2 3. Consider this innite series: 2:: " . Your goal in this problem is to use the Integral Test to decide whether the series converges. l n3+l 2 1. First of all, graph the function f(x) = xi\" . Notice that it isn't decreasing for all positive x values. Use your calculus skills to locate the local maximum, after which the function is decreasing. (You can use desmos to conrm your result, but you should be able to show me some details of how to nd the result.) 2. Now, explain why we can still apply the Integral Test to this series. (You may need to ask me for hints here.) 3. Apply the Integral Test and summarize your conclusions