What is the sum from k=1 to infinity of ((-1)^k)/k ?

The sum from k=1 to infinity of ((-1)^k)/k is converges

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sum from k=1 to infinity of ((-1)^k)/k

k = 1 \sum \infty \frac{( - 1 ) ^{k}}{k}

converges

Solution steps

k = 1 \sum \infty \frac{( - 1 ) ^{k}}{k}

Apply Alternating Series Test:

converges

= converges

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\frac{3}{s ^{2} - 1}

x \to + (- 2) lim (- 2)

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What is the sum from k=1 to infinity of ((-1)^k)/k ?
The sum from k=1 to infinity of ((-1)^k)/k is converges