Consider the functions y=1 - \ln(1+x^2) and y={1\over1+x^2} .

**A.**
Write the Taylor expansions for the two functions about ** A. ** ** B. **

*(Graph the functions to verify that your answer is
correct!)*

**B.**
Are these functions even or odd?
** A. ** Even** B. ** Odd

**C.**
Find the radii of convergence for your two series.

For

For

*(Enter* **infinity** *if the
radius of convergence is infinite.)*

Looking at the relative sizes of the successive terms in your series,
note how the radii of convergence you found make sense.

You can earn partial credit on this problem.