What is the sum from n=1 to infinity of 1/(7n^2+n+6) ?

The sum from n=1 to infinity of 1/(7n^2+n+6) is converges

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sum from n=1 to infinity of 1/(7n^2+n+6)

n = 1 \sum \infty \frac{1}{7 n ^{2} + n + 6}

converges

Solution steps

n = 1 \sum \infty \frac{1}{7 n ^{2} + n + 6}

Apply Series Comparison Test:

converges

= converges

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What is the sum from n=1 to infinity of 1/(7n^2+n+6) ?
The sum from n=1 to infinity of 1/(7n^2+n+6) is converges