Black can obviously capture the stones. Let's see what happens if he tries to go for the big kill. First, he will have to prevent White from connecting to the outside:
This is the way to do it - Black forms a bamboo joint so that c and d are miai to keep his stones connected, while a and b are miai to cut - we can worry about them later. Other plays won't do it - at a, b or c will be answered by at d, letting White connect via capturing , and at d is answered by at b, leaving and a as miai to connect.
Now, White takes advantage of sente to win the capturing race at the bottom, using the technique from an earlier problem. Otherwise, at a and it's all over for White. The - exchange is sente for Black, because of the threat to connect to the stones inside, and reduces White's eyespace.
HolIgor: is bad here.
White captures because there's nothing else useful to do locally; and if she plays tenuki, at a forces the capture and leaves one fewer liberty.
appears necessary - with any other move, at produces the requisite two eyes (three eyes, actually). Let's check White's responses:
This dies in gote.
So Black's grand plans are bound to fail, and he should just take the two stones on the side while he can (White doesn't get eyes at the bottom, but connects and escapes successfully).
Note: If had been Black originally (so that White would capture it), then White would have to be careful to capture right away at move . Otherwise, the marked space is no longer a liberty; and (which is now playable; the shortage of liberties is gone without ) is killing. What a hamete that would be - White doesn't appear to be threatened, so she assumes sente and plays tenuki; but it comes back to haunt her after she is forced to capture six stones and still can't make life or connect! (Or does White have other options without being in place? I'm not sure...)
"Close"? What did I miss? :/
KarlKnechtel: Hmmm... Ok, how about this:
Black can now play because of not 'biting the bamboo'. It threatens to capture, so White captures...
Mental note: For 'killing' tsumego, don't put a high priority on reducing eye space if you're trying to cooperate with inside stones!
unkx80: White can play at and give up one stone. When captures the stone, captures five black stones.
The end result after capturing: White lives. The points a and b are miai.