Consider the following. Σ**** (a) Use the Ratio Test to verify that the series converges. Im (b) Use a graphing utility to find the indicated partial sum S and complete the table. (Round your answers to four decimal places) s 13- 12 11- (c) Use a graphing utility to graph the first 10 terms of the sequence of partial sums. y y 10+ 9 8+ 7 6 3- 1 <1 1 2 1 2 3 10 3 15 7 9 10 7 8 9 10 12 11- 10 0 9 8 7 6 3- 1 2 3 12 (d) Use the table to estimate the sum of the series. (Round your answers to four decimal places) 3 8 9 10 9 10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following.
(a) Use the Ratio Test to verify that the series converges.
<1
3a
(b) Use a graphing utility to find the indicated partial sum S, and complete the table. (Round your answers to four decimal places.)
10
15
0
(c) Use a graphing utility to graph the first 10 terms of the sequence of partial sums.
y
y
13
12
11
10
9
8
7
6
st .
3
1
3
1 2 3
1
2
3
3
6
7
3 G 7
8 9 10
8
9 10
13
12
11
10
O
9
8
7
20
6
3
1 2
1
2
3 4
3 4
25
O
(d) Use the table to estimate the sum of the series. (Round your answers to four decimal places.)
3
6 7 8 9 10
G 7 8
10
x
Transcribed Image Text:Consider the following. (a) Use the Ratio Test to verify that the series converges. <1 3a (b) Use a graphing utility to find the indicated partial sum S, and complete the table. (Round your answers to four decimal places.) 10 15 0 (c) Use a graphing utility to graph the first 10 terms of the sequence of partial sums. y y 13 12 11 10 9 8 7 6 st . 3 1 3 1 2 3 1 2 3 3 6 7 3 G 7 8 9 10 8 9 10 13 12 11 10 O 9 8 7 20 6 3 1 2 1 2 3 4 3 4 25 O (d) Use the table to estimate the sum of the series. (Round your answers to four decimal places.) 3 6 7 8 9 10 G 7 8 10 x
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