# AM $$\geq$$ GM

Calculus Level 2

If a , b , c are 3 positive real numbers , then find the minimum value of

$\frac{ a^{2} + 1}{ b + c} + \frac{ b^{2} + 1}{ a + c} + \frac{c^{2} + 1}{ b + a}.$

×