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.