What is the sum of the series [math]1+ 1 / 2 + 1 / 3 + 1 / 4 + 1 / 5 ...[/math] up to infinity? How can it be calculated?
To what value does the series [math]1 + \dfrac{1}{2 ^ 2} + \dfrac{1}{3 ^ 3} + \dfrac{1}{4 ^ 4} + ...[/math] converge to?