Euler's continued Fraction

Euler's continued Fraction Formula:

If `r_i` are complex numbers and `x` is defined by:

` x=1+\sum_{i=1}^{\infty}r_{1}r_{2}\cdot r_(i)=1+\sum_{i=1}^\infty  (\prod_{j=1}^{i}r_{j})`

Then this equality can be proved by induction:

 `x=\frac{1}{1-\frac{r_1}{1+r_1-\frac{r_2}{1+r_2-\frac{r_3}{1+r_3-\ddots}}}}`

Its prove will be posted later...