1. Section 11.4 – Representing Functions with Power Series
10.5

2. Find the power series representation for
centered about x = 0 and specify its radius of convergence.
Infinite geometric with first term 1/3 and r = -2x/3
Converges when |r| < 1

3. 8. Find the power series representation for
centered about x = 0 and specify its radius of convergence.
Infinite geometric with first term 2 and
Radius of Convergence is 1

4. 12. Use the power series representation of
to produce a
power series representation of the function

5. Find a power series representation of f(x) = ln x centered
at x = 1. Specify the radius of convergence of the power
series.
Radius of convergence is 1

6. Use an appropriate identity to find the Maclaurin series
for f(x) = sin x cos x

7. 30. Given the function f defined by
Find the first three nonzero terms in the Maclaurin
series for the function f.

8. 30. Given the function f defined by
b. Find the first three terms in the Maclaurin series for the
function g defined by

9. 30. Given the function f defined by
c. Find the first four terms in the Maclaurin series for the
function h defined by

10. Converges for all x