$\frac {\pi} {1+\frac {\pi} {2+\frac {\pi} {3+\frac {\pi} {4+\frac {\pi} {\ddots}}}}}$

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$$\cfrac \pi {1+\cfrac \pi {2+\cfrac \pi {3+\cfrac \pi {4+\cfrac {\pi} {\ddots}}}}}$$

I don't want a solution to this. I just want to know to begin ! I've been trying for almost an hour now. Thanks for the help

EDIT 1 :

Here is what I tried :

$f(n) = n + \frac {\pi} {f(n+1)}$

$f(n+1)(f(n)-n) = \pi$

$f(1)f(0)=\pi$

since, $\pi$ is the factor of two numbers. So one must be 1 and other must be $\pi.$

$f(2)(f(1)-1)=\pi$

If $f(1)=1$, then, $f(2)(1-1)=\pi$ which is impossible.

$So, f(0) = 1$ must be True!

Hence the answer is 1

Can someone please verify ? Thanks :)