In(n) n=2 n³ The series Σα converges since converges since converges since diverges since In(n) n³ In(n) n³ In(n) n³ In(n) n.³ n n³ →0 as n→ ∞0. 1 for n ≥ 2 and 2 converges. →∞ as n →∞. n² n 222 1 for n ≥ 2 and -2 n diverges.

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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In(n)
The series Σα n=2 n³
O
converges since
converges since
converges since
diverges since
In(n)
n³
In(n)
n³
In(n)
n³
In(n)
n.³
<
n
n³
1
for n ≥ 2 and -2 converges.
0 as n→→ ∞0.
→∞ as n →∞.
n²
n
222
1
for n ≥ 2 and 2
n
diverges.
Transcribed Image Text:In(n) The series Σα n=2 n³ O converges since converges since converges since diverges since In(n) n³ In(n) n³ In(n) n³ In(n) n.³ < n n³ 1 for n ≥ 2 and -2 converges. 0 as n→→ ∞0. →∞ as n →∞. n² n 222 1 for n ≥ 2 and 2 n diverges.
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