u/Character_Laugh3057

The question is “Find a power series representation for the function and find the radius of convergence: f(x) = x^2 ln(x+2)

Unfortunately, our professor didn’t really teach this and to make up for it gave us the problem and told us to figure it out on our own time and come back with the solution as she has run out of time for the semester. When I search online I find that people use a standard Taylor Series but as you can imagine she has also not gotten to that, nor will she accept using a standard series as part of finding the answer. Any help understanding the steps to solving this problem would be appreciated!