What is the sum from n=0 to infinity of (ln(n))/n ?

The sum from n=0 to infinity of (ln(n))/n is diverges

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sum from n=0 to infinity of (ln(n))/n

n = 0 \sum \infty \frac{ln ( n )}{n}

diverges

Solution steps

n = 1 \sum \infty \frac{ln ( n )}{n}

Apply Series Integral Test:

diverges

= diverges

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What is the sum from n=0 to infinity of (ln(n))/n ?
The sum from n=0 to infinity of (ln(n))/n is diverges