Timed practice C

1. Show whether the series is absolutely convergent (AC), conditionally convergent (CC), or Divergent (D).

(a) (b) (c)

2. What is the Maclaurin series for ?

(d) (e) (f)

3. Find a non-series representation of the following Maclaurin series:

(a) (b) (c)

4. Find the total sum for each of the following series:

(a) (b)

5. If , then what is ?

6. If , then what is ?

7. Estimate with .

8. Suppose . Find the power series representation for , centered at .

9. Find the radius and interval of convergence of the series: