The greatest integer function is defined by $[x]=n,$ where $n$ is the unique integer such that $\underset{x-5+}{lim}[x]=$ help $(fractions).$

$\underset{x-5-}{lim}[x]=x=-5nx.$

Calculate the $limits$:

$\underset{x-5+}{lim}[x]=$ help $(fractions).$

$\underset{x-5-}{lim}[x]=$

$(Use$ symbolic notation and fractions where needed. Enter DNE $if$ the $limit$ does not exist.$)$

$At$ the point $x=-5$ the function $is$:

Right$-$continuous

Continuous

Discontinuous

Left$-$continuous