Question

Proof help URGENT!

Answer 1

Prove that if\[|x \ln x|=|\sqrt{x}^2\ln (\sqrt{x}^2)|\] then\[|x \ln x|\le2\sqrt{x}\] when \[0<x \le1\]

Answer 2

i think we need to prove that Prove that \[2\sqrt{x} \ge 1\]

Answer 3

since |x ln x| is less than 1