Determine a value of the constant a for which

ModifyingBelow lim With x right arrow minus $1$limx$1$g$($x$)$

exists and state the value of the$$limit$,$ if possible.

$$g$($x$)$equals$=$left brace Start $2$ By $2$ Matrix $1$st Row $1$st Column x squared minus $3$ x $2$nd Column if x less than or equals minus $12$nd Row $1$st Column ax cubed minus $22$nd Column if x greater than minus $1$ EndMatrix