Question

" title="\sf \lim\limits_{x \to 6} \cfrac{x^2-36}{x-6}" alt="\sf \lim\limits_{x \to 6} \cfrac{x^2-36}{x-6}" align="absmiddle" class="latex-formula">
Please show a step-by-step answer!
Thank you! :)

Answer 1

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Let's solve ~

• $\sf \lim\limits_{x \to 6} \dfrac{x^2-36}{x-6}$

• $\sf \lim\limits_{x \to 6} \dfrac{ {x}^{2} - {6}^{2} }{x - 6}$

• $\sf\lim\limits_{x \to 6} \dfrac{(x + 6)(x - 6)}{(x - 6)}$

• $\sf \lim\limits_{x \to 6} \: x + 6$

Removing limit (by Plugging x as 6)

• $6 + 6$

• $12$

$\mathrm{✌TeeNForeveR✌}$

Answer 2

Step-by-step explanation:

$= \lim \limits_{x \to6} \frac{ {x}^{2} - 36 }{x - 6}$

$= \lim \limits_{x \to6} \frac{(x + 6) \cancel{(x - 6)}}{ \cancel{x - 6}}$

$= \lim \limits_{x \to6}x + 6$

$= 6 + 6$

$= 12$