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19-11-2014
Mathematics

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y=(1/2)^x +2. What is the horizontal asymptote of this function?

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konrad509 konrad509

19-11-2014

[tex]\lim_{x\to -\infty} \left(\frac{1}{2}\right)^x+2=\infty+2=\infty\\ \lim_{x\to \infty} \left(\frac{1}{2}\right)^x+2=0+2=2\\[/tex]

There is one-sided horizontal asymptote [tex]y=2[/tex]

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