## Calculus, 10th Edition (Anton)

$\lim\limits_{x \to 6^{+}}\frac{y+6}{y²-36}$ = +$\infty$
y² - 36 = (y + 6)(y - 6), so: $\frac{y+6}{y²-36}$ = $\frac{1}{y-6}$ $\lim\limits_{x \to 6^{+}}\frac{y+6}{y²-36}$ = $\lim\limits_{x \to 6^{+}}\frac{1}{y-6}$ = $\frac{1}{0^{+}}$ = +$\infty$