The core concept in Calculus (Main).
Transclude of Limits-Notation
Say, . On first glance, could just be , but really, is undefined.
This means that there must be a restraint, a limit, which is written as .
This would be graphed as
Transclude of YAAAA
SO: would be equal to whatever number that y-axis is closest to.
This is the second example, basically the given is
which basically means that follows a parabolic curve—specifically, —up until , when it breaks that pattern and becomes . So when asked the value of , it is simply asking to what value is reaching as goes closer and closer to ? The answer is four, which could be answered visually—by plotting the graph—or by solving the functions of while is going closer and closer to the limit .