IMathAS-libretexts

Which of these toolkit functions are continuous at $\displaystyle {x}={0}$ ? (Select all that are.)

$\displaystyle {y}={x}$
$\displaystyle {y}={\left|{x}\right|}$
$\displaystyle {y}={\frac{{{1}}}{{{x}^{{2}}}}}$
$\displaystyle {y}={\sqrt[{{3}}]{{{x}}}}$
$\displaystyle {y}={\frac{{{1}}}{{{x}}}}$