I haven't made any real calculations on this, just thought a bit in my head...(adsbygoogle = window.adsbygoogle || []).push({});

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 lets 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 im making some error in my thoughts, but i cant figure out what...

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# Deriving the diagonal with limens

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