Question

How do you find `\lim _ { x \rightarrow - 2} ( x ^ { 3} + 6x )`?

Answer 1

`lim_(xrarr-2)[x^3+6x] = color(blue)(-20`

Explanation:

This limit can be found by substituting `-2` in for `x`:

`lim_(xrarr-2) [x^3 + 6x] = (-2)^3 + 6(-2)`

`= color(blue)(ul(-20`

A graph to check:

graph{x^3+6x [-18.6, 13.87, -23.36, -7.11]}