Question

If a,b,c greater than 0. then prove that a/b +b/c c/a is greater than equals to 3

Answer 1

using relationship A.M greater than equal to G.M. we have
a/b+ b/c +c/a /3 is greater than equal to a/b *b/a*c/a^1/3

so a/b +b/c + c/a is greater than equal to 3

Answer 2

let us consider a is 1 and b is 1 and c is 1 so a/b + b/c + c/a = 1+1+1 =3 hence proved