Math 122 - Chapter 10 Study Guide

  1. Determine whether or not the series converges, and if so, find its sum. Three parts. Look at problems 10.4.3-14
  2. Find the Maclaurin series for the function by differentiation. Write the series in sigma notation. Look at problems 10.8.1-10.
  3. Differentiate and integrate a power series, leaving the answer in power series notation.
  4. Find the radius and intervals of convergence. Two parts. Look at problems 10.8.25-48.
  5. Identify each series as convergent, conditionally convergent, or divergent. Justify your answer. Four parts. Look at the problems from sections 10.5 through 10.7.
  6. Find a Maclaurin series for the given binomial. Look at 10.9.17
  7. Use known Maclaurin series to find the series for a product or quotient. Look at problems 10.10.13-16.
  8. Use a Maclaurin series to approximate a value to three decimal-place accuracy. Check your answer against your calculator and find the percent error in the approximation. Look at problems 10.9.1-8.
  9. Obtain the first four non-zero terms of a Maclaurin series by making an appropriate substitution into a known series. State the radius of convergence of the infinite series. Look at problem 10.10.5-8


Points per problem

# 1 2 3 4 5 6 7 8 9 Total
Pts 9 5 6 8 12 4 4 5 5 58