Consider the sequence {an}, where 1 + 32 1 1 An = 1+ 22 ... n2' A. Show that {an}n=1 is a monotone. B. Show by induction that {an}=1 is bounded above by 2. 100 %3D1 C. Find the limit of this sequence.

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Chapter2: Second-order Linear Odes
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Consider the sequence {an}=1, where
1
1
1
an = 1++
..
22
32
n²'
A. Show that {an}n=1 is a monotone.
00
B. Show by induction that {an}=1 is bounded above by 2.
100
C. Find the limit of this sequence.
Transcribed Image Text:Consider the sequence {an}=1, where 1 1 1 an = 1++ .. 22 32 n²' A. Show that {an}n=1 is a monotone. 00 B. Show by induction that {an}=1 is bounded above by 2. 100 C. Find the limit of this sequence.
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