Now lim k→∞ Vk and lim k+1 k→∞ Wk+1 Wk = lim k→∞ = 6 lim k→∞ k k+1 k X X (3k+3)(3k+2)(3k+1) 1 (3k+3)(3k+2)(3k+1) = 0 <1 and = 0 <1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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I got confused here, can you expound this part. 

Vk+1
= lim
k→∞ Vk k→∞
Wk+1
WK
Now lim
and lim
k→∞
- 6 lim
k→∞
=
k+1
k
X
(k+1)
X
1
(3k+3)(3k+2)(3k+1)
(3k+3)(3k+2)(3k+1)
= 0 <1 and
= 0 <1
Transcribed Image Text:Vk+1 = lim k→∞ Vk k→∞ Wk+1 WK Now lim and lim k→∞ - 6 lim k→∞ = k+1 k X (k+1) X 1 (3k+3)(3k+2)(3k+1) (3k+3)(3k+2)(3k+1) = 0 <1 and = 0 <1
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