Explore graphically the limit of

as **x** approaches **a** for various values of **a** and **n**.

In the following Mathview Notebook, you can see the graph of

Explore with changing **n**; consider **n = 4, 5, 10, 11**. Can you detect a pattern?

You can also enter fractions; consider **n = 1/3, 2/3, 1/4**. It may not appear that
there is a vertical asymptote for some of these values. Zoom in by making the x coordinates smaller
but keeping the y-coordinates the same.