Conclusions:

You have now completed the lab for Taylor Series. From this lab you should have seen the following:

1. It is often possible to represent a function by way of an infinite series.

2. Near a specified point we can tell the value of a function just by knowing the value of the function at the specified point and     all its derivative's values at that point.

3. Some approximating polynomials are only convergent in certain intervals.

4. We can use a series to approximate the value of a difficult integral to a desired accuracy.

5. We can evaluate limits by substituting appropriate series representations.