This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: = 5 b. Determine the radius of convergence of 1 k 2 k x3 ( ) k k = 1 and determine whether this series converges when x = 6 and x = 4 . 4. (25) a. By computing a few derivatives, find the Taylor series for cos( x ) centered at 0. b. Use the "Alternating Series Estimate" to find the lowest degree partial sum a n x n n = N of your series in part a that approximates cos(1) to an accuracy of 103 . (You may assume the series does converge to cos(1).) Name±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±± Page 2 of 2 Hour Test 1 Teaching Assistant±±±±±±±±±±±±±±±±±±±±±±±±±±±±±±± 5 February 2004 Answers 1. y = (2 t 2 + 5) e 2 t 2. a. 1 b. 3. a. All three series converge. b. R = 2. Converges at 4, diverges at 6. 4. a. (1) k (2 k )! x 2 k k = b. 1 x 2 2! + x 4 4!x 6 6!...
View
Full
Document
This note was uploaded on 09/07/2010 for the course CALC 1502 taught by Professor Morley during the Spring '08 term at Georgia Tech.
 Spring '08
 Morley

Click to edit the document details