This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Math 1502 D, September 9 2009 1 School of Mathematics
Math 1502 Georgia Tech Calculus II, Section D
Quiz # 3
September 9 2009 First Name : Last Name : −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 1. Transform the ﬁrst expression into the second by a change of indices
(Check ALL details carefully ! !) 25 n=2 (−1)n ; n−1 24 k =1 (−1)k+1 k 2. Find the sum of the series (Hint : transform it as a telescopic sum.)
∞ n=3 1 = n(n − 1) Math 1502 D, September 9 2009 2 3. Find the sum of the series (Hint : use the geometric series.)
∞ j =0 (−1)j x2j = 4. Are the following series convergent or not ? (Indicate explicitly the test used
to conclude. Be careful there is a trap !) (a) n + 117 ( n 3 + 4n 2 ) 5 / 6 (b) √ 5n + 3 cos nπ/ 3 ( n 3 + 4n 2 ) 1 / 3 ...
View
Full
Document
This note was uploaded on 11/30/2009 for the course MATH 1502 taught by Professor Mcclain during the Fall '07 term at Georgia Institute of Technology.
 Fall '07
 McClain
 Calculus

Click to edit the document details