MA 241 REVIEW SHEET FOR TEST 4 (8.2-8.7)

NOTE: YOU WILL BE EXPECTED TO NAME EACH TEST YOU USE

• Take the practice test at www4.ncsu.edu/~lakurtz/241.html

• 8.2 Series (You will still need to know this)

-Be able to determine if a given series is convergent

-Know when a geometric series is convergent and what it converges to p. 567

-Know about the Harmonic Series

-Know the Test for Divergence

-Know the Telescoping Series

p. 572 # 1,7,9,11,19,23,33

• 8.3 The Integral and Comparison Tests; Estimating Sums

-Know when the Integral test, Comparison Test, Limit Comparison test can be applied.

-Know when a p-series converges and when it diverges

-Examples: p. 583 # 3,13, 17, 21

• 8.4 Series Other Convergence Tests

-Know the Alternating Series Test, the Ratio Test

-Examples: p. 591 #3,5,7,21,23,29

-Know the Test for Divergence

• 8.5 Power Series

-Be able to find the radius and interval of convergence for a given Power Series & be able to justify your work

-Examples: p. 597 # 3,5, 7,13,17

• 8.6 Representations of Functions as Power Series

-Understand how to use the Geometric series to represent a Power series

-Examples: p. 603 # 5, 7,13

• 8.7 Taylor and Maclaurin Series and Binomial Series

-Know the difference between a Taylor and Maclaurin series.

-Be able to use a Taylor polynomial to approximate different values

-Examples: p. 616 # 5,7,9,11,13,41,43