1. Determine the interval of convergence for the following power series. must name the test(s) you use as well as show all the key details of applying the test(s). Your work (a) 2 (x+ 2)". n3 n=1 8....

Part B with neat hand writing please

I think we must use the test like limit comparison test, direct comparison test, integral test, alternative series test, etc. if those are not applicable any tests are fine. Thank you.

Extracted text: 1. Determine the interval of convergence for the following power series. must name the test(s) you use as well as show all the key details of applying the test(s). Your work (a) 2 (x+ 2)". n3 n=1 8. (b) (n + 1)!(x+1)". n=1 (x – 4)" (c) E 3" Vn - n=2 (d) ► (х — 2)" (2n + 1)!" n=1