Cho a,b,c>0 t/m a+b+c=3

CMR: \(\dfrac{a+1}{b^2+1}\)+\(\dfrac{b+1}{c^2+1}\)+\(\dfrac{c+1}{a^2+1}\)>=3

Cho x,y,z>0 thỏa mãn x\(^3\)+y\(^3\)+z\(^3\)=1

CMR: \(\dfrac{x^2}{\sqrt{1-x^2}}\)+\(\dfrac{y^2}{\sqrt{1-y^2}}\)+\(\dfrac{z^2}{\sqrt{1-z^2}}\)>=2