2. Use the principle of mathematical induction to prove that the sequence given below is monotone and bounded. Why is it a convergent sequence? Find its limit. 81 Sn+1 2 and 1 3 (n+1) for n EN

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2. Use the principle of mathematical induction to prove that the sequence given below is monotone and
bounded. Why is it a convergent sequence? Find its limit.
$1
Sn+1
=
2 and
1
3
(n+1) for n € N
Transcribed Image Text:2. Use the principle of mathematical induction to prove that the sequence given below is monotone and bounded. Why is it a convergent sequence? Find its limit. $1 Sn+1 = 2 and 1 3 (n+1) for n € N
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