- #1

bedaone

- 2

- 0

Assume a square with side 1, meaning the diagonal would be 1.41.

The distance between 2 corners if moving along the edges is of course 2.

Now starting in upper left corner let's move

0.5 in x

-0.5 in y

0.5 in x

-0.5 in y

forming a staircase to lower right. Still total distance 2, right?

Dividing this into smaller steps, i.e. lim x,y -> 0, the distance would always be 2, even when the steps are in fact forming a diagonal.

Obvioulsy I am making some error in my thoughts, but i can't figure out what...