This is the 1218th most frequent Russian word.
краю
The word "краю" is the dative or prepositional case form of "край," meaning "edge," "border," "region," or "outskirts," depending on context.
The word "краю" is the locative form used to describe the edge or boundary of something tangible, here used in describing a cliff's edge.
Я стою на краю обрыва.
I am standing on the edge of a cliff.
The word "краю" in this context refers to the boundary or periphery of an area, here specifically the village's outskirts.
Он живёт на краю деревни.
He lives on the outskirts of the village.
Here, "краю" denotes the outermost part of the surface of the table, emphasizing its locative application to surfaces.