3-4 point low approach shoulder hit
in response to white's low approach is a hamete and is referred to as the Drooping Lotus. It's one of the oldest named hametes in go. If White responds correctly, Black's result is slightly inferior.
Pushing through with is the obvious response. After
, white has two ways to cut, a and b.
Cutting with a is a mistake, and white will get a bad result. Cutting with b is correct.
Continuation
The normal continuation sees both players getting influence. Black keeps sente, but white's shape is somewhat thicker than black's shape. This is considered slightly better for white.
Later, a is large.
Falling for the trick
If white cuts with , play continues like this. After
, both players have influence, like in the correct continuation, but black's shape is thicker here. Also, due to the liberty filled by
, black now has a tesuji at a to claim a big corner.