< 1 >
Limit of a function
The limit of a function f (x) in the point x = a, is unique, if it exists.
Example 1
You can calculate a limit in different ways. We use here the function
in which both the numerator and denominator are divergent.
Standard calculation
With the standard calculation for a limit you get
L'Hôpital's rule
With l'Hôpital's rule, where the derivatives of the numerator and denominator are used, you get
Of course we find the same answer.