IV$.$ LAB $1$: WORKSHEET

Solve the following problems, using MATLAB. You will need to submit your 'diary' file or any work by MATLAB as a hardcopy. No softcopy will be accepted.

$***larr$ Means it needs to be done by hand

Find the limit

$($a$)\underset{x{1}^{+}}{lim}\frac{x^2-9}{x^2+2x-3}$

$($b$)\underset{r9}{lim}\frac{\sqrt[\phantom{2}]{r}}{(r-9{)}^4}$

$($c$)\underset{u1}{lim}\frac{u^4-1}{u^3+5u^2-6u}$

$($d$)\underset{x-}{lim}\frac{\sqrt[\phantom{2}]{x^2-9}}{2x-6}$

$($e$)***\underset{x0}{lim}\frac{sin(5x)}{3x}$

$($f$)***\underset{x3}{lim}\frac{5x^2-8x-13}{x^2-5}$