At this point you might have noticed a relationship between power series and Taylor series.

1. In your own words, describe how a Power series and a Taylor series are the same and how they are different?

   HInt (a):

   A Taylor series is a special type of power series.

2. Describe the process you would use to determine the interval on which a power series will converge.

   Hint (b):

   Ratio Test... but don't forget to check the ________.

3. Describe why it might be important to find the interval of convergence of a Taylor series?

   Hint (c):

   Taylor series are used to approximate other functions.