Question

If limit of `f(x)=27` as `x->c`, what the limit of `(f(x))^2` as `x->c`?

Answer 1

`lim_(xrarrc)(f(x))^2=(lim_(xrarrc)f(x))^2=27^2=729`

Explanation:

We will use the rule:

`lim_(xrarrc)[f(x)]^n=[lim_(xrarrc)f(x)]^n`

So, we see that:

`lim_(xrarrc)f(x)=27`

And:

`lim_(xrarrx)(f(x))^2=(lim_(xrarrc)f(x))^2=27^2=729`