Question

QUIZ (1377)
Materi: Limit

Tentukan hasil dari [tex] \lim\limits_{x\to\ 2}\bigg | \dfrac{x {}^{2} - 4x - 11 }{5} \bigg| [/tex] !​

Answer 1

Verified answer

[tex]\begin{aligned} \sf \lim\limits_{x\to\ 2}\bigg| \dfrac{x^2 - 4x - 11}{5}\bigg| &= \sf \bigg |\dfrac{2^2 - 4(2) - 11}{5} \bigg| \\ &= \sf \bigg |\dfrac{4 - 8 - 11}{5} \bigg| \\ &= \sf \bigg |\dfrac{-4 - 11}{5} \bigg| \\ &= \sf \bigg |\dfrac{-15}{5} \bigg| \\ &= \sf |-3| \\ &= \sf 3\end{aligned}[/tex]

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