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(Solved): 2.8.9 Let {sn} be a sequence of positive numbers. Show that the condition nlimsnsn+ ...
2.8.9 Let
{
s
n
?
}
be a sequence of positive numbers. Show that the condition
n
?
?
lim
?
s
n
?
s
n
+
1
?
?
<
1
implies that
s
n
?
?
0
.
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Proof :) To show that the sequence {sn} converges to zero as n approaches infinity, Explanationwe can use the fact that if a sequence {an}converges to
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