Hello,

although I understand what limit is about I don't understand why the definition requires an interval like this

$\displaystyle \left ( a,p \right )\cup \left ( p,b \right )$

and not one like this:

$\displaystyle \left [ a,p \right )\cup \left ( p,b \right ] $

when it wants to show that there exists the limit on the point p. How the second one would harm the limit definition?

Thank you in advance!