$\underset{x}{lim}\frac{\sqrt[\phantom{2}]{9x^{-1}+1}}{4x^2+3}$ is:

$($a$)\frac{1}{3}$

$($b$)\frac{3}{4}$

$($c$)\frac{9}{4}$

$($d$)$ influite $-k$

$\underset{x1}{lim}\frac{}{lnx}$

$($a$)0$

$($b$)\frac{1}{8}=$

$($b$)1$

$($d$)$ nomeristent

Lat f he the fimetion given by

$f(x)=\frac{x-2}{2|x-2|}$

Which of the following is crue?

$($a$)\underset{ti}{lim}f(x)=\frac{1}{3}$

$($b$)f$ has a removablo diseontimity al $x=212.$ thent anymptome in $x=2$

$19.$ If $\underset{xa}{lim}f(x)=L,$ where $L$ is a real number, which of the following must be true?

I. $f(a)=L$

$11.\underset{x{a}^{-}}{lim}f(x)=L$

III. $\underset{x{a}^{+}}{lim}f(x)=L$

$($a$)$ Ionly

$($b$)$ I and II

$($o$)11$ and $111*$

$($d$)$ I, $11,$ and III

$20.\underset{sin(x)}{lim}(sencta)=$

$($II$)-1$

$($b$)-$

$(1)0$

$($iI$)1$ Please all ;(