On the continued fraction frac{1 |}{| z } +frac{1 |}{| 1 } + frac{2 |}{| z } +frac{3 |}{| 1 } + frac{4 |}{| z} + cdots

The article on hand deals with the continued fraction $$frac{1 |}{| z } +frac{1 |}{| 1 } + frac{2 |}{| z } +frac{3 |}{| 1 } + frac{4 |}{| z} + cdots.$$ The famous Indian mathematician Srinivasa Ramanujan has given a pre-presentation by a power series, but he however concealed a proof. Subsequently a proof has been established, but a direct verification is intricate. Here we give a quick and direct approach with comparitively little effort.