i think the problem here is that blacks pawns are on either side of the board... maybe if you attacked the single pawn with the knight and the other 2 with the king, but then i think the king couldnt handle both. if you take the one behind you cant catch the other one which will promote i think
Knight vs 3 pawns
Lets assume that the knight can stop the one pawn on the a file and then get captured by the king. Black can still win because the king cannot take the "h" pawn. (Why? Because the g pawn will push and queen)
So lets assume that the knight tries to block the progress of both the h and g pawns. Then the white king will not be able to stop the pawn from queening because he will get caught in a zugzwang because of the knights inability to leave the blocking squares.
There is not even a need to calculate the position because the "truth" can be seen in the position as is.
http://chessok.com/?page_id=361 => endgame table base.
I am not sure if this one is accurate, it says black wins in 33 moves. There are others posted around I just couldn't find them right now. It is pretty hard to give a good analysis, given my sub GM status. Seems fairly lost for white though.
I lost this, could I have drawn? which way should the King go, and the Knight for the best chance?