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Given that $a,b,c$ are positive real numbers, find the minimun of: $$f(a,b,c)=\frac{a}{b}+\frac{b}{c}+\frac{c}{a}+\frac{a-b}{a+b}+\frac{b-c}{b+c}+\frac{c-a}{c+a}$$
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Given that $a,b,c$ are positive real numbers, find the minimun of: $$f(a,b,c)=\frac{a}{b}+\frac{b}{c}+\frac{c}{a}+\frac{a-b}{a+b}+\frac{b-c}{b+c}+\frac{c-a}{c+a}$$
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