Question

Could someone please verify that these are all false, and that my justifications are correct?

Answer 1

wow all of these are correct, well done.

Answer 2

Thanks! :)
Took me a little bit to do, but I couldn't see why any of them would be wrong. always good to have a double check, though.

Answer 3

you need to do radius of convergence questions, those are quite difficult, they take a while to get used to.

Answer 4

Tell me about it ... I was struggling with one for a couple of hours today.

Answer 5

If anyone else would like to verify these, I would appreciate as many second looks as I can get.