Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

[tex]\sf \lim\limits_{x \to 6} \cfrac{x^2-36}{x-6}[/tex]

Please show a step-by-step answer!
Thank you! :)

Sagot :

syahbanazacki

Step-by-step explanation:

[tex] = \lim \limits_{x \to6} \frac{ {x}^{2} - 36 }{x - 6} [/tex]

[tex] = \lim \limits_{x \to6} \frac{(x + 6) \cancel{(x - 6)}}{ \cancel{x - 6}} [/tex]

[tex] = \lim \limits_{x \to6}x + 6[/tex]

[tex] = 6 + 6[/tex]

[tex] = 12[/tex]

DᴀʀᴋPᴀʀᴀᴅᴏx

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

[tex] \boxed{ \boxed{6}}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

  • [tex]\sf \lim\limits_{x \to 6} \dfrac{x^2-36}{x-6}[/tex]

  • [tex]\sf \lim\limits_{x \to 6} \dfrac{ {x}^{2} - {6}^{2} }{x - 6} [/tex]

  • [tex] \sf\lim\limits_{x \to 6} \dfrac{(x + 6)(x - 6)}{(x - 6)} [/tex]

  • [tex]\sf \lim\limits_{x \to 6} \: x + 6[/tex]

Removing limit (by Plugging x as 6)

  • [tex]6 + 6[/tex]

  • [tex]12[/tex]

[tex]\mathrm{✌TeeNForeveR✌}[/tex]

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.