Hello,

I have some probelm regarding my homework.

I proved that the sequence doesn't have limit and now I need to prove that the following sequence doesn't have limit too:

I tried to disprove it by the definition but it's doesn't go well so far, also I think it have to do something with the part that the sequence doesn't have limit.

What is the best way to prove that this sequence doesn't have limit?

Thanks for your help.