Thank you everyone for great help understanding the math in this :) ended up using something called L'Hôpitals rule.
Here it's explained, (in norwegian, but math is an internasional language :) )
L'H
Hi I'm having some problems with an task in my class.
It's as follows
Given the real function f(x)=Xx for X ∈ (0,∞).
Then I'm to expand the definition area to [0,∞), f shall still be continuous. What does f(0) have to be?
Thanks for any help :)