Use the Limit Comparison Test to determine whether the series converges or diverges. lim n→∞ b n n Identify bn in the following limit. In(n) 2 0.6 n = 00 Since Lis n = 1 In(n) 0.6 lim n→∞ n = L a finite number, L 0, and bn is convergent ✓ the series is convergent ✓

Advanced Engineering Mathematics
10th Edition
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Use the Limit Comparison Test to determine whether the series converges or diverges.
3
n = 1
Since Lis
an
n→∞ bn n→∞
lim
= lim
In(n)
0.6
n
Identify bn in the following limit.
In(n) 2
0.6
n
2
a finite number, L = ✓
0, and bn is convergent ✓
I
the series is convergent ✓
Transcribed Image Text:Use the Limit Comparison Test to determine whether the series converges or diverges. 3 n = 1 Since Lis an n→∞ bn n→∞ lim = lim In(n) 0.6 n Identify bn in the following limit. In(n) 2 0.6 n 2 a finite number, L = ✓ 0, and bn is convergent ✓ I the series is convergent ✓
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