For the function $f(x) =\left\{\begin{matrix}\frac{1-x}{|x-1|}&;x<1\\1&;x=1\\x^2&;x>1\end{matrix}\right.$ which of the following is true

it is continuous at all points it is continuous at all points except at x = 1 it is differentiable at all points none

it is continuous at all points

$f(x) =\left\{\begin{matrix}\frac{1-x}{|x-1|}&;x<1\\1&;x=1\\x^2&;x>1\end{matrix}\right.⇒f(x) =\left\{\begin{matrix}1&;x<1\\1&;x=1\\x^2&;x>1\end{matrix}\right.$ function is continuous every where