12 problems 8 points each
Determine convergence using
1. The comparison test
2. The limit comparison test
3. Alternating series test
4. ratio test
Be able to tell if a series converges absolutely or conditionally
Be able to determine the interval of convergence for a power series.
Be able to find the Taylor's series expansion for a given function about a given value of c.
Be able to find the Maclaurin series expansion for a given function.
Find the Maclaurin series expansion for one function using the series expansion for another.
ie find the mac series expansion for f(x) = x2 sin x
Find the series for a function using long division
Find the series for one function by differentiating or integrating the series for another function.
Know the series expansion for ex , sin x, cos x, and 1 / (1+x)
Use the series expansion for one of these functions to obtain the integral for a function