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

The sum from n=2 to infinity of ((-1)^n)/n is converges

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sum from n=2 to infinity of ((-1)^n)/n

n = 2 \sum \infty \frac{( - 1 ) ^{n}}{n}

converges

Solution steps

n = 2 \sum \infty \frac{( - 1 ) ^{n}}{n}

Apply Alternating Series Test:

converges

= converges

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What is the sum from n=2 to infinity of ((-1)^n)/n ?
The sum from n=2 to infinity of ((-1)^n)/n is converges