1-2-3-4-5-1-

Question Number 347 by 123456 last updated on 23/Dec/14

$$\mathrm{1}−\frac{\mathrm{2}}{\mathrm{3}−\frac{\mathrm{4}}{\mathrm{5}−\ddots}}\overset{?} {=}\mathrm{1} \\ $$