These functions drive me crazy(Part II)!

Calculus Level 4

If f(x) be a function satisfying the condition

\(f(x)=\frac{1}{3}[f(x+6)+\frac{6}{f(x+7)}]\)

and f(x) is greater than zero for every x belongs to R(set of real no) then

\(lim_{x\rightarrow\infty} f(x)=\sqrt{m}\)

Find the value of m

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