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Mathematics
Mathematics
Problem
In one or two sentences, explain why the series
∑
n
=
1
∞
sin
n
n
\displaystyle \sum_{n=1}^{\infty} \frac{\sin n}{n}
n
=
1
∑
∞
n
sin
n
cannot be tested for convergence by directly applying the integral test on the interval
[
1
,
∞
)
[1,\infty)
[
1
,
∞
)
.
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