[SOLVED] Power/Taylor series centered at x = a

Hi everyone. I am a senior in high school taking AP Calc BC and I have a question on Power Series. I just finished taking notes on Section 9.1 (Power Series) and 9.2 (Taylor Series) in this textbook: Amazon.com: Calculus: Graphical Numerical Algebraic (9780130631312): Ross L. Finney, Franklin Demana, Bert K. Waits, Daniel Kennedy: Books - Anyhow, my question is, why move a function's center? For example:

Find the third order Taylor polynomial for

(a) at (b) at

(a) is already centered at .

(b) I did Taylor series and got this:

I graphed out the two equations and they are exactly identical. So what is the point of moving the center? **Not Answered**

Another question: is there a thread on using the [tex] tag? **Answered**

Any help is appreciated. Thanks in advance. :)