$($i$)$ A continuous function $f(x)$ will achieve both an absolute maximum and an absolute minimum value on a closed interval $a,b.$ Where should you look for these absolute maximums and minimums?

Choose all that apply.

$($a$.)$ Endpoints of the interval $a,b.$

$($b$.)$ Inflection points of $f(x).$

$($c$.)$ Critical numbers of $f(x).$

$($d$.)$ None of the above.

$($ii$)$ Identify the indeterminate form for the following limit$.$ If the limit is not of indeterminate form, select Not indeterminate.

$\underset{x{0}^{+}}{lim}7xln(6x)$

Choose one answer.

$($a$.)-$

$($b$.)0^0$

$($c$.)0*$

$($d$.)1^{}$

$($e$.)$ Not indeterminate

$($iii$)$ Which of the following limits is of an indeterminate form in which L'Hosptal's Rule can be used?

Choose all that apply.

$($a$.)\underset{x0}{lim}\frac{x+tanx}{cosx}$

$($b$.)\underset{x1}{lim}\frac{x-1}{lnx}$

$($c$.)\underset{x}{lim}\frac{x^2}{\sqrt[3]{x}}$

$($d$.)\underset{x-}{lim}{x}^3{e}^{-x}$