What is the sum from k=1 to infinity of 1/(k^3+k^2) ?

The sum from k=1 to infinity of 1/(k^3+k^2) is converges

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sum from k=1 to infinity of 1/(k^3+k^2)

k = 1 \sum \infty \frac{1}{k ^{3} + k ^{2}}

converges

Solution steps

k = 1 \sum \infty \frac{1}{k ^{3} + k ^{2}}

Apply Series Comparison Test:

converges

= converges

n = 0 \sum \infty \frac{5}{1 + 2 n ^{4}}

n = 2 \sum \infty (- 0.05)^{n}

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

n = 1 \sum \infty n! e^{- 3 n}

n = 0 \sum \infty cos (3 n)

What is the sum from k=1 to infinity of 1/(k^3+k^2) ?
The sum from k=1 to infinity of 1/(k^3+k^2) is converges