Hello. I have taught Calculus I , II and III for over 10 years now, not only I can get it done in less than 1 hour without any mistakes, but I can write in book format, so you will have it in all detailed way, including the explanations.
I can give you the answers for the first 2 problems, the radius of convergence is 3. We can obtain that using ratio test. And the interval of convergence is -3<= x <= 3, that can be obtained using alternating series test and comparison test with a p-series.
For the second exercise, the answer is a Summation from n=0 to infinity of ((x^(n+1)/n!+((-1)^nx^(n+2)/(x+1). That can be obtained by working with the known Maclaurin series of e^x and ln(1+x) and shifting the index a bit.
Looking forward to give you the detailed answers of those problems and to work with the others. Have a great day.