Instead of showing the main line straightaway, I will try presentating it as a discussion style. --unkx80
It seems that the common point in killing has been at . How about playing here? It seems most likely to live.
Now tries to occupy the point required to make the second eye. is natural, and captures in a connect-and-die.
And wedges in. Ah... Black is dead, due to shortage of liberties, and playing at a puts Black under self-atari.
Conclusion: In this problem, Black cannot live.