so I'm studying for my exams and there are a few questions that I don't completely understand. I need help with questions (b) and (d). For (b), I ended up getting diverging, because the limit is infinity?. Also I have no clue how to do (d)
So I also spent all night trying to learn power series and I need help with (d), (e) and (f). I ended up obtaining the right answer for (d), but I'm not sure if my method of working it out is correct. So basically what I did first was do the ratio test and I ended up getting |x^2|limit k->infinity (log(1+k))/log(2+k). Am I suppose to use L'hopital's rule to find the limit? Because I used it and the interval ended up being from -1infinity (k^k)/(l+1)^k ,what do I do from there? ,
Btw the answers to (b) and (d) for the integral test is converging for both of them. And the answers to (d), (e) and (f) for the power series is 1, 2e and 0, respectively.