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limit as x goes to infinity of the quotient of 10 raised to the x power and the quantity negative e raised to the x power (2 points)


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Use your calculator to select the best answer below limit as x goes to infinity of the quotient of 10 raised to the x power and the quantity negative e raised t class=

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Answer:

[tex]-2\sqrt{a}[/tex]

Step-by-step explanation:

[tex]\lim_{x \to a} \frac{a-x}{\sqrt{x} -\sqrt{a} } \\ =-\lim_{x \to a} \frac{x-a}{\sqrt{x} -\sqrt{a} }  \\=-\lim_{x \to a} \frac{(\sqrt{x} -\sqrt{a})(\sqrt{x} +\sqrt{a})}{\sqrt{x} -\sqrt{a} }  \\=- \lim_{x \to a} \sqrt{x} +\sqrt{a}\\=-2\sqrt{a}[/tex]