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

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

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

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

converges

Solution steps

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

Apply Series Ratio Test:

converges

= converges

\int \frac{x ^{3} - 27}{x - 3} d x

\int_{2}^{5} 6 x d x

y^{^{'}} + 2 y = e^{- 2 t}

x \to 0 lim ((e^{x} + x)^{\frac{2}{x}})

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