Q&A If a, b, c \in N , and 1\leq a\leq b\leq c , find all a,b,c numbers that hold the equation always true, \dfrac{1}{a}+\dfrac{1}{b}+\dfrac{1}{c}=\dfrac{3}{4} algebraic fraction
Q&A If n \in N^+ , prove \dfrac{1}{2}\leq\dfrac{1}{n+1}+\dfrac{1}{n+2}+\dots+\dfrac{1}{2n}<1 Inequality
Q&A Proof of AM-GM inequality of three terms \dfrac{a+b+c}{3} \geq \sqrt[3]{abc} (a, b,c > 0) Inequality
Q&A Prove 1+\dfrac{1}{2^2}+\dfrac{1}{3^2}+\dfrac{1}{4^2}+\dots+\dfrac{1}{n^2}<\dfrac{7}{4} Inequality
Q&A Given positive numbers x , y , z , if xyz(x+y+z)=1 , find the minimum value of (x+y)(y+z) . Inequality
Q&A Given x>0 , y>0 and x ≠ y , compare the size of \dfrac{x^2}{y^2} +\dfrac{y^2}{x^2} and \dfrac{x}{y}+\dfrac{y}{x} Inequality