Tutorial Exercise

Find the limit using direct substitution.

$\underset{x8}{lim}(-x^{2}x-8)$

Step $1$

Recall that if a function $f(x)$ becomes arbitrarily close to a single number $L$ as $x$ approaches $c$ from elth

$\underset{xc}{lim}f(x)=l$

Many times the limit of $f(x)$ as $x$ approaches $c$ is simply $f(c).$ In those cases we can state the following.

$\underset{xe}{lim}f(x)=F(c)$

In these cases the limit can be evaluated by direct substitution. In other words, it can be found by evalua

We wish to find the limit $\underset{x1}{lim}(-x^{2}x-8)$ via direct substitution. In other words, we need to evaluate