Hello again. This is the final question that I have for now.

Argue that the sequence

1,0,1,0,0,1,0,0,0,1,0,0,0,0,1, 5 zeros,1...

does not converge to zero. For what values of ε > 0 does there exist a response N? For which values of ε > 0 is there no suitable response?

Any help on this would be greatly appreciated. Thanks.