Ernst_Maple_3__2__Fall_2007

Ernst_Maple_3__2__Fall_2007 - MATH-I02 MAPLE ASSIGNMENT #3...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
MATH-I02 MAPLE ASSIGNMENT #3 I. Determine if the following sequences are convergent or divergent. Find the limit. Plot the sequences. a. b. c. lnn a =--- n 2 n II. Consider the series, a. Determine, by hand, the sum of the series, s. \1.·1 b. Use MAPLE to find the following nth partial sums. i) n=5 ii) n=10 iii) n=20 iv) n=40 (Notice that as n is increased, the nth partial sum approaches S)
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
n=100 n=500 n=1000 III. Consider the series; '" 3 ~ n(n+3) a. Determine, by hand S n' the nth partial sum. b. Determine, by hand, the sum S of the series. c. Use MAPLE to determine s = lim Sn (the sum of the fC->'" series ). d. Use MAPLE to determine the following nth partial sums. i) ii) iii)
Background image of page 2
a:=n~--- 5 (n + 1) [> disp: =seq ([n,a (n) ] ,n=l .. 50) : n: =' n 1 ; n:=n plot([disp] ,style=point); 0.16-l(> o 0.12 0.08 o o 0.04 o o 10 [> limit (a (n) ,n=infini ty) ; The sequence converges to O. 20 o 30 40 50
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
19.91117680 > q:=Sum(exp(n) / (Pi" (n-l» ,n=l .. 30); 361""<-\ s"~ 30 q:= L -.!. . n n=lJr [>
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/23/2009 for the course MATH 102 taught by Professor All during the Spring '09 term at Kettering.

Page1 / 11

Ernst_Maple_3__2__Fall_2007 - MATH-I02 MAPLE ASSIGNMENT #3...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online