I'm not sure, if it is a senceful question but...
I always get angry when someone write something like [math] \lim_{x \rightarrow 2 }\left(\frac{x^2-4}{x-2} \right) =4 [/math] because it's not equal ,it approximates, it's "almost equal". I know, it's mathematicly correct, but something's telling me that the equality is not the best symbol for this.
The question is if the "4" on the right represents number or constant function (and my opinion is it should end in this [math] \lim_{x \rightarrow 2 }\left(\frac{x^2-4}{x-2} \right) =\lim_{x \rightarrow 2 } (4) [/math] formula without other editing, if it is a function...) and if that "4" is a real number, why is there equality while that fraction is undefined at 2?
many thanks
Pq