Consider the function

and the tangent line at **x = 0**. Zoom in until the graphs of both appear to
coincide and estimate the slope of the tangent line from the graph of **f**.

[Press here to see animation again!]

The slope of the line is approximately

The slope of the tangent line can be shown to be **ln( 5) = 1.609...**.

The animation was generated using graphs from JKGraph and GifGifGif.