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?
How does one calculate the sum: 1/2*3 + 1/3*4 + 1/4*5 + ... + 1/48*49 + 1/49*50?