Forgot password? New user? Sign up
Existing user? Log in
Real numbers aaa, bbb, and ccc satisfy abc=1abc=1abc=1. Given that kkk is an integer ≥2\geq 2≥2, find the maximum possible RRR that satisfies
aka+b+bkb+c+ckc+a≥R\dfrac{a^k}{a+b}+\dfrac{b^k}{b+c}+\dfrac{c^k}{c+a} \geq Ra+bak+b+cbk+c+ack≥R
for all aaa, bbb, and ccc satisfying the condition previously stated.
Problem Loading...
Note Loading...
Set Loading...