Use a graphing utility to find the indicated partial sum S, and complete the table. Then use a graphing utility to graph the first 10 terms of the sequence of partial sums. For each series, compare the rate at which the sequence of partial sums approaches the sum of the series. (Select the correct graphs. Round your answers to four decimal places.) (¹ Σ+4 10 20 20 50 50 100

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use a graphing utility to find the indicated partial sum S, and complete the table. Then use a graphing utility to graph the first 10 terms of the sequence of partial sums. For each series, compare the rate at which the sequence of partial sums approaches the sum of the series. (Select the correct graphs. Round your answers to four decimal places.)
n-1 63
Σ(+)"
n = 1
(a)
(b)
Sn
Sn
8
4
2-
8
6
n
Sp
Sn
n
Sn
1
n²
Sn
6
1
0
5
2
2
5
n
n
6
4
6
4
n
8
6
8
6
10
8
10
10
10
10
Sn
Sn
3-
2-
O
3-
20
Sn
Sn
20
8-
2
2
4
50
50
6
8
8
6
6
10
10
8
8
100
10
10
100
Transcribed Image Text:Use a graphing utility to find the indicated partial sum S, and complete the table. Then use a graphing utility to graph the first 10 terms of the sequence of partial sums. For each series, compare the rate at which the sequence of partial sums approaches the sum of the series. (Select the correct graphs. Round your answers to four decimal places.) n-1 63 Σ(+)" n = 1 (a) (b) Sn Sn 8 4 2- 8 6 n Sp Sn n Sn 1 n² Sn 6 1 0 5 2 2 5 n n 6 4 6 4 n 8 6 8 6 10 8 10 10 10 10 Sn Sn 3- 2- O 3- 20 Sn Sn 20 8- 2 2 4 50 50 6 8 8 6 6 10 10 8 8 100 10 10 100
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