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Does ln(n)sin(1/n) converge or diverge?
1. Homework Statement
[tex]\sum_{n=1}^{\infty}ln(n)sin\frac{1}{n}[/tex]
2. Homework Equations

3. The Attempt at a Solution
Not even sure where to start... was thinking comparison test, but if you choose [tex]b_{n} = ln(n)[/tex] you end up with [tex]\lim_{x\rightarrow\infty} sin\frac{1}{n} = 0[/tex]
which doesn't work because [tex]b_{n}[/tex] diverges... hmm.
1. Homework Statement
[tex]\sum_{n=1}^{\infty}ln(n)sin\frac{1}{n}[/tex]
2. Homework Equations

3. The Attempt at a Solution
Not even sure where to start... was thinking comparison test, but if you choose [tex]b_{n} = ln(n)[/tex] you end up with [tex]\lim_{x\rightarrow\infty} sin\frac{1}{n} = 0[/tex]
which doesn't work because [tex]b_{n}[/tex] diverges... hmm.
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