For $x>0,leth\left(x\right)=\{\frac{1}{q},\text{if}x=\frac{p}{q}0,\text{if}\xi sirrational$ where $p,q>0$ are relatively prime integers. Then prove that $f\left(x\right)$ is continuous for all irrational values of $x\dot{}$

Views: 719 students