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

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

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

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

converges

Solution steps

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

Apply Series Ratio Test:

converges

= converges

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x \to 7 lim (6 x + ∣ x - 7 ∣)

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