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Unformatted text preview: You must state the test used. a. n = 1 (-1) n 2 n n 3 b. n = 1 n e-n 2 c. n = 1 sin ( n ) 8. (13) Find the Maclaurin series for f(x) = (5 + 2x)-1 using the Maclaurin formula for the terms a n 9. (12) For the series n = 1 (-1) n x n n 3 n a. What is the radius of convergence? b. Where does the series converge absolutely? c. Where does the series converge conditionally? 10. (10) Use Maclaurin series to compute lim x -> 0 1 - cos(x 2 ) x 4 11. (15) a. Use the principles developed in this course to estimate 1/2 1 1 + x 3 dx. You don't have to complete any computations that would normally be done on a calculator. b. Estimate the size of the error that results from doing your estimate in part a....
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This note was uploaded on 05/19/2009 for the course MATH 21C taught by Professor Milton during the Spring '08 term at UC Davis.
- Spring '08