Let $$f(x) = \left\lbrace \begin{array}{ll} -3+x,\quad{\rm if}\,\, x<3 \\ 3-x,\quad{\rm if}\,\, x\ge 3 \end{array} \right.$$ Evaluate the following expressions.

$\displaystyle\lim_{x\to 3^-} f(x) =$

$\displaystyle\lim_{x\to 3^+} f(x) =$

$f(3) =$

Is the function $f$ continuous at $3$? ? Yes No