Question

How do you find the limit of `(x^2+4)^3` as `x->2`?

Answer 1

`lim_(xrarr2) (x^2+4)^3=color(green)(512)`

Explanation:

Since `(x^2+4)^3` is defined when `x=2`
the limit as `xrarrcolor(red)(2)` is simply
`(color(red)(2)^2+4)^3=(4+4)^3=8^3= 512`