What is the sum from n=1 to infinity of (cos(n)+2)/n ?

The sum from n=1 to infinity of (cos(n)+2)/n is diverges

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sum from n=1 to infinity of (cos(n)+2)/n

n = 1 \sum \infty \frac{cos ( n ) + 2}{n}

diverges

Solution steps

n = 1 \sum \infty \frac{cos ( n ) + 2}{n}

Apply Series Comparison Test:

diverges

= diverges

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What is the sum from n=1 to infinity of (cos(n)+2)/n ?
The sum from n=1 to infinity of (cos(n)+2)/n is diverges