Limits and Estimation -- Tangents

There are several other possibilities.

Compute the change in height from time t = 0.18 to time t = 0.20 and divide this change by the time required for the change.
```
3.71629 - 3.81352
----------------- = -4.8615
      0.02
```

Find the average of the two estimates obtained so far.

-5.2215 + -4.8615
----------------- = -5.0415
        2

Compute the change in height from time t = 0.18 to time t = 0.22 and divide by the time required for the change.
```
3.61186 - 3.81352
----------------- = -5.0415
       0.04
```

Notice that the last two answers are the same. Can you explain why? Or, is this just a fluke?

Copyright c 1995 by Frank Wattenberg, Department of Mathematics, Carroll College, Helena, MT 59625