(adsbygoogle = window.adsbygoogle || []).push({}); Infinite series sin(1/n)/n ???

1. The problem statement, all variables and given/known data

does the series (sin (1/n)) / sqrt ( n ) converge or diverge? (series from n = 1 to infinity...)

2. Relevant equations

3. The attempt at a solution

I thought that for this we could do a comparison of sin (1/n) to a finite number. Lets say we use the number -2. -2 is less than sin(1/n) for all n. With that being said, -2/ sqrt( n ) diverges, as it is a p series with p less than 1.

But, this series actually converges... what did I do wrong?

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# Homework Help: Infinite series sin(1/n)/n ?

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