Here in Sweden, when you read about what is required to pass (and even pass
with the highest grade), you never find limits mentioned. Well of course
they talk about derivatives, but that usually means that limits are limited
(pun intended) to half a page where they ask you to exchange h for 0 in the
expression   2xh+h^2.

What does your courses say about limits?
Why has limits been forgotten? Too difficult for a pupil at that level
(pre-university)
Or has it been regarded as something "boring and hard to explain, that we
only need for defining derivatives" by the people that writes the
textbooks? 

I understand that it is not too easy to comprehend for a regular pupil, but
still, not impossible to at least make them familiar with it. I think.