Ingin jawaban yang terperinci!

Ingin jawaban yang terperinci!

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$displaystyle lim_{x to 2} frac{2x^2-8}{sqrt{x^2+5}-3} =2lim_{x to 2} frac{x^2-4}{sqrt{x^2+5}-3}\\ lim_{x to 2} frac{2x^2-8}{sqrt{x^2+5}-3} =2lim_{x to 2} frac{x^2+5-5-4}{sqrt{x^2+5}-3} \\ lim_{x to 2} frac{2x^2-8}{sqrt{x^2+5}-3} =2lim_{x to 2} frac{x^2+5-9}{sqrt{x^2+5}-3} \$

$displaystyle lim_{x to 2} frac{2x^2-8}{sqrt{x^2+5}-3} =2lim_{x to 2} frac{(sqrt{x^2+5}-3) (sqrt{x^2+5}+3) } {sqrt{x^2+5}-3} \\ lim_{x to 2} frac{2x^2-8}{sqrt{x^2+5}-3} =2lim_{x to 2} sqrt{x^2+5}+3\\ lim_{x to 2} frac{2x^2-8}{sqrt{x^2+5}-3} =2cdot 6\\Huge{boxed{boxed{boldsymbol{ lim_{x to 2} frac{2x^2-8}{sqrt{x^2+5}-3} =12}}}$