Question

Comp

Determine a value of the constant a for which $\underset{x-1}{lim}g(x)$ exists and state the value of the limit$,$ if possible.

$g(x)=\{\begin{array}{ccc}{x}^2-7x& if& x-1\\ a{x}^3-5& if& x>-1\end{array}$

Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

A$.$ The limit exists for $a=$ With that value for $a,\underset{x-1}{lim}g(x)=$

B$.$ There is no value of a for which $\underset{x-1}{lim}g(x)$ exists.