Answer
Determinate,
diverges to $-\infty$
Work Step by Step
See the table: "Some Determinate and indeterminate Forms" and, after plugging in the value for x, recognize
the determinate form
$ k\pm\infty=\pm\infty$ (we write $-x^{2}+5$ as $5-x^{2})$
The limit diverges to $-\infty$
