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Alexmahone
Active member
- Jan 26, 2012
- 268
Test for convergence: $\sum_1\sin\left(\frac{1}{n}\right)$
My attempt:
$\sin\left(\frac{1}{n}\right)\sim\frac{1}{n}$
Since $\sum_1\frac{1}{n}$ diverges, $\sum_1\sin\left(\frac{1}{n}\right)$ also diverges by the asymptotic convergence test.
Is that correct?
My attempt:
$\sin\left(\frac{1}{n}\right)\sim\frac{1}{n}$
Since $\sum_1\frac{1}{n}$ diverges, $\sum_1\sin\left(\frac{1}{n}\right)$ also diverges by the asymptotic convergence test.
Is that correct?
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