What is the sum from n=1 to infinity of 1/(|n|) ?

The sum from n=1 to infinity of 1/(|n|) is diverges

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sum from n=1 to infinity of 1/(|n|)

n = 1 \sum \infty \frac{1}{∣ n ∣}

diverges

Solution steps

n = 1 \sum \infty \frac{1}{∣ n ∣}

Apply Series Limit Comparison Test:

diverges

= diverges

n = 0 \sum \infty (\frac{- 1}{7})^{n}

n = 1 \sum \infty 8 (0.3)^{n - 1}

n = 0 \sum \infty \frac{10}{n ^{2} + 9}

b = 0 \sum \infty 9 (\frac{2}{3})^{b}

n = 0 \sum \infty \frac{( - 2 ) ^{n}}{n}

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