Also, if you have any spare time, the OP to this question has told me his TA has said the answer to this problem is "weaker" instead of "not comparable". It makes me nervous as I don't want to lead him in the wrong direction. I would be grateful if someone would take a look to double check:
https://math.stackexchange.com/questions/2609657/another-statement-using-the-epsilon-delta-definition/2609669#2609669