$($a$)$ Describe in words the behavior highlighted by the graph and include the word limit in your description. limit is DNE

$($b$)$ Create a possible table of values of the function $h(x).$ Be sure that the table highlights the behavior of the function near $x=-0\mathrm{.}5.$

$($c$)$ Write a mathematical $($or algebraic$)$ statement involving "lim" that describes the information highlighted by the table of values.