Points$]$

SCALCET$9$M $2\mathrm{.}5\mathrm{.}023.$

Explain why the function is discontinuous at the given number a$.($Select all that apply.$)$

$f(x)=\{\begin{array}{ccc}cos(x)& if& x<mn>0</mn>\\ 0& if& x=0\\ 1-x^2& if& x>0\\ a=0\end{array}$

$f(0)$ is undefined.

$\underset{x0}{lim}f(x)$ does not exist.

$f(0)$ and $\underset{x0}{lim}f(x)$ are finite, but are not equal.

$\underset{x{0}^{}}{lim}f(x)$ and $\underset{x{0}^{-}}{lim}f(x)$ are finite, but are not equal.

none of the above

Sketch the graph of the function.

$y$