Explore the limits of the functions

as **x** approaches 0 for various values of **a**. **f(x) = [[x]]** is
the **greatest integer function** or **floor function** which
is the largest integer less than or equal to **x**.

Use the following LiveMath Notebook to change the values of

For what values of **a** does the
limit of **g(x)**, as **x** approaches **0**, exist?
Answer.