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

Please show a step-by-step answer!
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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]

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