I think this puzzle in this textbook is wrong, or I don’t get it


#1

It says that the black group can live. I don’t see it. Can’t white capture the top black stone? Black can only make one eye here.


#2

White got a lot of cutting points and Black has sente, there are a lot of ways to live as Black.


#3

Yah, the simplest is atari, atari, atari, atari.


#4

Yeah I messed up I thought black was against the wall for some reason