Generalization of Cauchy Inequality

Algebra Level 4

\[\large\ \frac { { a }^{ 2017 } }{ b+c } +\frac { { b }^{ 2017 } }{ c+a } +\frac { { c }^{ 2017 } }{ a+b } \ge \frac { { a }^{ k }+{ b }^{ k }+{ c }^{ k } }{ 2 } \]

If this inequality is satisfied for one value of \(k\), find \(k\).

×

Problem Loading...

Note Loading...

Set Loading...