We know if $\sum_{n=1}^\infty|z_n|$ converges then $\sum_{n=1}^\infty z_n$ converges absolutely. (kind of trivial)
I wonder whether it holds for infinite products, that is, if $\prod_{n=1}^\infty|z_n|$ converges then $\prod_{n=1}^\infty z_n$ converges absolutely.
Is the statement above true or not?
Thanks a lot!
I know $\prod_{n=1}^\infty|z_n|$ converges doesn't imply $\prod_{n=1}^\infty z_n$ converges.