Be sure to show your work or explain your reasoning as demonstrated in the module.

Question $1$

Let

$\underset{x3}{lim}f(x)=2$

$\underset{x3}{lim}g(x)=5,$ and

$\underset{x3}{lim}h(x)=0$

Find each of the following limits $($if the limit exists$).$ Be sure to show your work and support your conclusions as demonstrated in this module.

Part a$)$

$\underset{x3}{lim}(9f(x)-[g(x){]}^2)$

Part b$)$

$\underset{x3}{lim}\frac{4*g(x)}{f(x)}$

Part c$)$

$\underset{x3}{lim}\frac{f(x)}{h(x)}$

Part d$)$

$\underset{x3}{lim}ln[f(x)*g(x)]$

Question $2$

Let $f(x)$ be a function such that,

$6x-9f(x)x^2$

Use the Squeeze Theorem to find $\underset{x3}{lim}f(x).$