Math 211

Last Midterm

Fall 2001

Dr. Wilson

 

1. Use the power series representation of ez to approximate

to the nearest thousandth.

2. Evaluate

3. Does the following series converge? Why?

4. Find the radius of convergence of

5. Find the power series representation for tanx using

Find an estimate for the error in the 5th degree polynomial approximation of

using Taylor's Theorem.

(Extra Credit) Find a formula for the coefficients in the power series for the tangent.