Question

How do you solve `\lim _ { x \rightarrow - 2} \frac { x ^ { 2} - x - 6} { x + 4}`?

Answer 1

`lim_(xrarr-2) [(x^2-x-6)/(x+4)] = color(blue)(0`

Explanation:

We're asked to find the limit

`lim_(xrarr-2) [(x^2-x-6)/(x+4)]`

We can plug in `-2` for `x`..

`lim_(xrarr-2) [((-2)^2-(-2)-6)/(-2+4)] = color(blue)(0`