Hey,

I've been trying to work out the following question,

This is it including what I hope is an ok, or on the way to an ok proof.

The book has a hint given that states there exists N in naturals such that |z_n|<ε/2 for all n>N so I kind of tried to use that to find a bound on w_n.

Does this look okay?

Thank you in advance,

Jess