Mathematics, 22.09.2019 00:30, rodres17
An = (1+ sin(1/n))^n does this sequence converge or diverge?
Answers: 2
as 
, so 
is bounded from above.
on its own is a monotonically decreasing sequence approaching 0, which means 
approaches 1 from above, i.e. 
. For all intents and purposes, you can basically think of 
. For all 
, you have 
a positive, strictly increasing sequence. It follows, then, that 
must be a strictly increasing sequence.
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An = (1+ sin(1/n))^n does this sequence converge or diverge?...
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