... hand, cn=min(an,bn)andCnis convergent.(b) The answer changes in this situation. Suppose to the contrary thatthere is such a pair of sequences (an)and(bn). There are infinitelymany ... and only if it holds in (1) and in the Minkowski inequality,i.e., if and only if d1= ··· = dnand h1/p1= ··· = hn/pn. This meansthat F is inscribed in a circle with center at O and ... we write x, y, zfor tan A, tan B, tan C. Using the relation x + y + z = xyz, we can reducethis inequality to(2x + y + z)(x +2y + z)(x + y +2z) ≥ 8(x + y)(y + z)(z + x).This follows from the...